Find the volume of the composite solid. Round your answer to the nearest tenth

Find The Volume Of The Composite Solid. Round Your Answer To The Nearest Tenth

Answers

Answer 1

Answer:

V = 1206.3 [tex]ft^{3}[/tex]

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = [tex]\pi[/tex][tex]r^{2}[/tex] x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = [tex]\pi[/tex] x [tex]8^{2}[/tex] x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = [tex]\frac{\pi r^{2}h }{3}[/tex]. This is the area of the circular part of the cone ([tex]\pi r^{2}[/tex]), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = [tex]\frac{\pi 8^{2} 6 }{3}[/tex] (On the top it's [tex]\pi[/tex] x [tex]8^{2}[/tex] x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 [tex]ft^{3}[/tex]


Related Questions

please help me !!
slope and y-intercept
*image attached

Answers

Answer:

slope = 1 and y- intercept = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 6) ← 2 points on the line

m = [tex]\frac{6-4}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The y- intercept is the y- coordinate of the point where the line crosses the y- axis.

Here the y- intercept = 4

Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!

Answers

Answer:

Step-by-step explanation:

It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

It takes 9.3 acres to plant per pound of seed.

Step-by-step explanation:

[tex]93 \div 10[/tex]

[tex]9.3[/tex]

solve for x in 4x-4/x+4=10

Answers

Answer:

-22/3 =x

Step-by-step explanation:

(4x-4) /(x+4) = 10

Multiply each side by (x+4)

(4x-4) /(x+4) * (x+4) = 10 * (x+4)

(4x-4) = 10 * (x+4)

Distribute

4x-4 = 10x+40

Subtract 4x from each side

4x-4-4x = 10-4x+40

-4 = 6x+40

subtract 40 from each side

-4 -40 = 6x+40-40

-44 = 6x

Divide each side by 6

-44/6 = -6x/6

-22/3 =x

Answer:

x = -22/3

Step-by-step explanation:

4x - 4 / x + 4 = 10

=> 4x - 4 = 10(x + 4)

=> 4x - 4 = 10x + 40

=> 4x - 10x = 40 + 4

=> -6x = 44

=> x = -44/6

=> x = -22/3

what is the value of W

Answers

Answer: 28

Step-by-step explanation:

Since this is an isosceles triangle, two of the angles are congruent.

180 - 124 = 56

56/2 = 28

So as we know that about the isosceles triangle property that the two opposite angles are equal to their opposite sides the rhombus has all the sides equal therefore forming an isosceles triangle
Please refer the image for the answer

Two times a number plus four is 22. What is the number?

Answers

Answer:

9

Step-by-step explanation:

2n+4=22

2n=18

n=9

potatoes are 50p a pound . how much for 24oz​

Answers

Answer:

25p

Step-by-step explanation:

IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!

Answer:

Hi...

The correct ans is 25 p

Hope this helps.....

Pls mark my ans as brainliest....

Sry dude the calculations r longggggggggggg

Be sure to mark my ans as brainliest

What addition expression is shown on the
number line?
8
+
?
15

Answers

If this is 8 + _ = 15 the answer is 7

I will give the brainliest answer

Answers

Answer:

96 cm²

Step-by-step explanation:

area of single square:16cm²

no. of square in cube:16*6: 96cm²

Answer:

[tex]96 \: \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]A

=

6

{a}^{2}

\\

=

6

·

{4}^{2}

\\

=

96 \: \: {units}^{2}

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation

Answers

Answer:

a reflection and a dilation

Step-by-step explanation:

in the wording, it was stated that the triangle was reflected then dilated.

The correct answer is translation and a dilation

What are the various types of transformation?

There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.

How to solve this problem?

The steps are as follow:

Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of  Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC  which means that ΔABC was translated i.e shifted to give ΔA"B"C"

So the correct answer will be translation and a dilation

Learn more about translation and a dilation here:

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passion wants to rent a car to take a trip

Answers

Answer: The answer is C

Step-by-step explanation:

What’s the vertex y=-1/2(x+3)^2-1

Answers

Use the vertex form,
y
=
a
(
x

h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
, to determine the values of
a
a
,
h
h
, and
k
k
.
a
=

1
2
a
=
-
1
2
h
=

3
h
=
-
3
k
=

1
k
=
-
1
Find the vertex
(
h
,
k
)
(
h
,
k
)
.
(

3
,

1
)

Answer:

vertex = (- 3, - 1 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - [tex]\frac{1}{2}[/tex] (x + 3)² - 1 ← is in vertex form

with vertex = (- 3, - 1 )

BC⎯⎯⎯⎯⎯ is parallel to DE⎯⎯⎯⎯⎯. What is AC? Enter your answer in the box. 34 units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.

Answers

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.

We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]

Now, we can plug the values given into that equation:

[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]

Now, cross multiply:

18x = 8(x + 15)

Now, we can simplify this equation and solve for x, or AC.

18x = 8x + 120

Subtract 8x from both sides:

10x = 120

Divide both sides by 10:

x = 12

Hope this helps!

Answer:

AC: 12

Step-by-step explanation:

Help please! Will give brainly! How are these patterns similar? How are they different? How are the number of dots in each pattern changing? How would you find the number of dots in the 5th step in each pattern?

Answers

these patterns are similar because in both the number of dots are increasing. they are different because the pattern in the first one is adding 2 each step, while in the second one you are taking the starting amount, multiplying it by 2 then adding 1. to find the number of dots for step 5 you would add 2 in the first pattern, in the second pattern multiply by 2 add 1.

Which of the following is a Pythagorean triple?

A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)

Answers

Answer:

A

Step-by-step explanation:

Perhaps you know of the {3, 4 ,5} Pythagorean triple.

Pythagoras stated a² + b² = c²

so checking for A:

a² + b² = c²

5² + 12²

25 + 144 = 169 which is 13²

Only answer A. (5, 12, 13) is a Pythagorean triple.

The others are not.

The correct answer for Pythagorean triple are (5,12,13). The correct option is A.

A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem can be written as:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Check each option:

A. (5, 12, 13)

=[tex]5^{2} +12^{2} \\[/tex]

= [tex]25 + 144[/tex]

= 169

[tex]= 13^{2} \\= 169[/tex]

Since both sides are equal (169 = 169), this is a Pythagorean triple.

B. (1, 1, 2)

[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]

[tex]= 2^{2} \\= 4[/tex]

The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.

C. (3, 4, 6)

[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]

[tex]=6^{2}[/tex]

[tex]= 36[/tex]

The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.

D. (5, 8, 10)

[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]

[tex]= 10^{2} \\= 100[/tex]

The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.

The correct answer is (5,12,13). The correct option is A.

Learn more about Pythagorean triple here:

https://brainly.com/question/31224227

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HELP ASAP PLEASE need help

Answers

Answer:

4.10

Step-by-step explanation:

Cos 35 = AC/5

AC = 4.096

to the nearest hundredth

AC= 4.10

Answer:

AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5

Can someone please so me how I would figure out how to do this? I believe it’s subtraction. But I’m not sure

Answers

Answer:

A.  1/12.

Step-by-step explanation:

Orville and Wilbur  ate 1/3 + 1/4

= 4/12 + 3/12

= 7/12 of the pizza.

So there was 1 - 7/12 = 5/12 of the pizza left.

So Ruth ate 5/12 * 1/5

= 5/60

= 1/12.

Use the distributive property to write the following expression without parentheses.  
-3/5(20x-20y)

Answers

Answer:

-12x+12y

Step-by-step explanation:

[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]

Hope this helps!

Answer:

[tex]-12x+12y[/tex]

Step-by-step explanation:

We have the following expression:

[tex]-\frac{3}{5} (20x-20y)[/tex]

TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..

[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]


What is the tangent ratio for ∠A?

Answers

Answer:

1/2

Step-by-step explanation:

Five less than a number (n) is 28. Which equation shows this relationship?
5 < 28n
5- n = 28
n - 5 = 28
n - 28 = 5

Answers

Answer:

n - 5 = 28

Step-by-step explanation:

The number is n.

5 less than the number is n - 5.

5 less than the number is 28

n - 5 = 28

In what ways are the sine and cosine graphs different?

Answers

The sine graph is odd so it’s graph is symmetric about the origin. The cosine graph is even so it’s graph is symmetric about the y-axis.

Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve.  A sine graph is the lighter curve on the graph.

Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y2

Answers

I Hope this helps you

Enter the ordered pair that is the solution to the system of equations graphed below y = - 1/2 * x - 1 y = - 3x + 9

Answers

Answer:

x= 4   and y =-3

Step-by-step explanation:

To find the  pair that is the solution to the system of equations, we will follow the steps below;

y = -1/2 x  - 1 -----------------------------------------------------------------------------------(1)

y = -3x + 9 ---------------------------------------------------------------------------------------(2)

substitute equation (1) in equation (2)

-1/2 x  - 1  = -3x + 9

collect like term

-[tex]\frac{1}{2}X[/tex]  + 3x = 9 + 1

-x+ 6x /2 = 10

5x /2 = 10

multiply  both-side of the equation by 2

5x = 20

Divide both-side of the equation by 5

x = 4

substitute x = 4 into equation (2)

y = -3x + 9

y = -3(4) + 9

y = -12 + 9

y = -3

The solution is

x= 4   and y =-3

What happens when the supply of a nonperishable good is greater than the consumer wants to buy?

A. either the good remains unsold or the price drops

B. the good becomes a luxury and the price rise

C. either the good is saved for later sale or the price is raised

D. the good is discarded

Answers

Answer:

A. either the good remains unsold or the price drops

A. Rut r the good Ramains unsold or the price drops

WILL MARK AS BRAINLIST



Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0

a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4

Answers

Answer:

C

Step-by-step explanation:

4x-5y=0

5y=4x

y=4x/5, or rather y = (4/5)*x

k thus equals 4/5, and that is your constant of variation.

Answers: Yes, direct variation, k=4/5

Need help ?? Anyone?

Answers

Answer:

64

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore:

x+y=180

x+116=180

x=180-116=64 degrees

Hope this helps!

Answer:

∠x = 64°

Step-by-step explanation:

∠x+∠y=180°

∠x+116°=180°

Subtract 116° from both sides

∠x=64°

Hi!! I need some help with those exercises can anybody help me please !! Thanks you

Answers

Answer:

Step-by-step explanation:

(a+b)^2=a^(2)+2ab+b^(2)

(a-b)^2=a^(2)-2ab+b^(2)

13)

(x+2)^(2)-(x-1)^2

x^(2)+4x+4-(x^(2)-2x+1)

x^(2)+4x+4-x^(2)+2x-1

6x+3

15)

(x+5)^(2)-(x+1)^2

x^(2)+10x+25-(x^(2)+2x+1)

x^(2)+10x+25-x^(2)-2x-1

8x+24

The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*

Answers

Answer:

The second choice. m < 4 = 85 degrees.

Step-by-step explanation:

m < 4 = 180 - m < 1

= 180 - 95

= 85 degrees.

The measure of angle 4 is 85 degrees.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that measure of Angle 1 is 95 degrees.

Therefore, we can see that  angle 4 and Angle 1 makes linear pair so.

Angle 4 = 180 - Angle 1

= 180 - 95

= 85 degrees.

Learn more about angles here:

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Write an algebraic rule to describe the translation B(3,2)→ 8'(-5,0).

Answers

Answer:

<-8,-2>

Step-by-step explanation:

Answer:

(x - 8, y - 2)

Step-by-step explanation:

x-coordinates:

3 and -5

How do you get from 3 to -5?

You subtract 8

This means:

x - 8

y-coordinates:

2 and 0

How do you get from 2 to 0?

You subtract 2

This means:

y - 2

Put it together:

(x - 8, y - 2)

Therefore, the algebraic rule is subtract 8, subtract 2.

A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to nearest while degree

Answers

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

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