What is the surface area of a cone with a radius of 3 cm and a length of 8 cm

Answers

Answer 1

Answer: surface area = 108.8 sq. cm

Step-by-step explanation:

A=πr(r+√h2+r2)

Answer 2

Answer:

108.8cm^2

Step-by-step explanation:

Surface Area

A = πr(r+ √h2+r2)

A= π3 * (3 +1/3)  √64 + 9  (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32

A= 108.7

Volume

V=πr2h/3

V= π9*8 = π72/3 = 226.28/3

V= 72.4cm^3

Additional

The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.

To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.

l2 = h2 + r2

l2 = 64 + 9

l = √(73)

l = 8.54 cm

And the total surface area of the cone is:

SA = πr2 + πrl

SA = π · r · (r + l)

SA = π · 3 · (3 + 8.54)

SA = π x 3 . 11.54

SA = 9.42477796077 x 11.54 = 108.76 cm2

SA = 108.8cm^2


Related Questions

Guess the riddle!!!!!!
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?

Answers

Step-by-step explanation:

1 rabbit

9 elephants (not clear going to river or not)

3 monkeys

6 tortoise

total 19 animal in the story

20 including the riddle maker who saw all of this (if we insist the riddle maker (human) are part of animal hahaha)

but the total animal going to river for sure is 10 animals

Alvin has 2\3 cup of salad dressing. He uses 1/9 cup of salad dressing for each serving. How many servings of salad dressing can alvin make 100 points pls help

Answers

Answer:

Alvin can make six servings of salad.

Step-by-step explanation:

2/3 is equal to 6/9.

Hi there!

Convert all denominators into the same denominator:

[tex]\frac{2}{3}=\frac{6}{9}[/tex]

[tex]\frac{1}{9}=\frac{1}{9}[/tex]

Divide each terms:

[tex]\frac{6}{9}*\frac{1}{9}=6[/tex]

Final Result: 6

a car runs 20mph how much does it travel in 1 hour

Answers

the answer is in the question itself... so since it says 20 miles per hour that’s the distance it covers per hour. the answer would be it travels 20 miles in an hour
20mph because it says in the question that it already runs 20 mph

2(x-3)=16 solve for x

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]2\left(x-3\right)=16\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(x-3\right)}{2}=\frac{16}{2}\\Simplify\\x-3=8\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\x-3+3=8+3\\x=11[/tex]

Answer:

tbh idk ask someone else. i take pre-cal

Step-by-step explanation:

A sample of 100 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
O A. (24.3, 25.3)
O B. (24, 26)
O C. (23.8, 26.2)
O D. (24.4, 25.6)

Answers

Answer:

D

Step-by-step explanation:

I just took the test: 24.4, 25.6

Answer:

its D

Step-by-step explanation:

Find the slope of the line that passes through the given points.
(9,1) and (9,5)

Answers

The answer is 4/0 or indefinite.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

The answer is undefined

Hope I helped a little

A marker was placed at an altitude that is 15 feet below sea level.
Enter the integer that represents this altitude.

Answers

Answer:

-15 below sea level

-Hope this helps! :)

Answer:

-15 below 0 :)

Step-by-step explanation:no u

If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?

Answers

Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign

Step-by-step explanation:

[tex](g*h)(x)=g(x)*h(x)[/tex]

So this means the functions should be multipled and both evaluated at x = 5

The value of the composition of functions ( g o f ) ( 5 ) = 4

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as h ( x )

Now , the value of h ( x ) is

h ( x ) = x - 7

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = x²

Now , the composition of function ( g o f ) ( 5 ) is given by

The value of f ( 5 ) = 5 - 7 = -2

Now , the value of g ( -2 ) is

g ( -2 ) = ( -2 )²

g ( -2 ) = 4

Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4

To learn more about composition of functions click :

https://brainly.com/question/17673639

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For what values of m, the relation K= {(2.3m + 45, 0), (−67m − 8.9, 0)} is a function?

Answers

Answer:

The relation is a function for all m-values different than -53.9/69.3

Step-by-step explanation:

If the relation is a function, then we can say that

[tex]2.3m+45\neq -67m-8.9[/tex]

Solving for [tex]m[/tex], we have

[tex]2.3m+67m\neq -8.9-45\\69.3m \neq -53.9\\m \neq - \frac{53.9}{69.3}\\[/tex]

Therefore, the relation is a function for all m-values different than -53.9/69.3

Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?

Answers

Answer:

51.25

Step-by-step explanation:

Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.

Answer:

Multiply the price with the tip rate

18% = 0.18

62.5 x 0.18 = 11.25

that is the tip. We add that on to find the total price

62.5 + 11.25 = 73.75

73.75 dollars is the answer. Hope this helps

Step-by-step explanation:

in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime

A. $600
B. $1600
C. 1200
D.$8400

Answers

The answer is B. $1600 because you have to subtract it

Answer:

B.  $1,600

Step-by-step explanation:

$3,400 + T = $5,000

T = $5,000 - $3,400

T = $1,600

Three of the vertices of a trapezoid are A(3,-3), B(12, 6) and C(4,8). The fourth vertex is labeled D. One of its bases is AB
What is the equation of the line that includes base CD?

Answers

Answer:

y = x + 4

I graphed all the points, and the line that goes through AB is y = x - 6. The bases of a trapezoid are parallel, so the slope on the line CD has to be the same. I graphed the point C and just tried different y-intercepts to see which line would go through C.

What is the opposite integer of -111111111111111111111111111111111111111111111111111111111111111111

Answers

Answer:

positive 111111111111111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

At the sandwich shop there are 5 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 9 C. 12 D. 20

Answers

Answer:

D. 20 different sandwiches

Step-by-step explanation:

5 meats

4 cheeses

5 x 4 = 20

Answer:

its D

Step-by-step explanation:

i did the test on edgeuenity or however u spell it

A bank advertises a 2/1 ARM at 3.25% with a 2/10 cap.
What is the maximum interest rate that can be charged during the fifth year?
A 2%
B 3.25%
C 9.25%
D 10%

Answers

The answer is B 3.25%

What is m∠A? Enter your answer in the box.

Answers

Answer:

∠A is 118 degrees

Step-by-step explanation:

every triangle is 180 degrees

(3x+13) + (x-8) +(x) = 180

simplify

5x + 5 = 180

-5        = -5

5x = 175

175 divided by 5 is 35

so x= 35

∠A= 3(35) + 13

3 times 35 is 105

105 + 13 = 118

so ∠A is 118 degrees

hope this helps!

Mrs. Jacobsen asked her students to write a word problem that describes the graph below. Which word problem accurately describes the graph?
a. Jamie has $8, and she pays $2 per day to ride the bus.
b. Melinda has $4 and earns $2 allowance per day doing chores.
c. Carrina has $8, and she earns $2 per day babysitting.
d. Louise has $4, and she pays $2 per day for school lunch.

Answers

Answer:

The answer is a. Jamie has $8, and she pays $2 per day to ride the bus.

Step-by-step explanation:

When looking at the graph, you can see that you start with $8. You lose $2 per day. That is why you are losing money per day.

Answer:

A

Step-by-step explanation:

When you look at the graph you can see the she originally has $8, and then her mone decreases by 2 a day, which is due to bus ride fees.

the slope of the line below is 2. use the labeled point to find a point-slope equation of the line. (1, 9)

Answers

Answer:

Step-by-step explanation:

y - 9 = 2(x - 1)

y - 9 = 2x - 2

y = 2x + 7

The heights of the sunflowers, in inches,
in Brittany's garden are shown below.
65 66 64 63 64
62. 65. 63, 64, 66
Brittany displayed the data in a dot pot
Which of the dot plots correctly displays
Brittany s dala?

Answers

Answer:

See picture attached

Step-by-step explanation:

The options are not provided, so I made my own dot plot. To did it, I ordered the set, and counted how many times each height appears, as follows:

62: once

63: twice

64: three times

65: twice

66: twice

Those are the numbers of dots you have to put over each height.

4 - (-3) simplify the expression

Answers

Answer:

7

Step-by-step explanation:

4-(-3)=4+3 (negative times negative is positive)

4+3=7

Hope that helps!

i think it’s 7 because that’s what somebody else said

Can I have some help on this question?

Answers

Answer:

The definition of a parallelogram states that opposite sides are parallel, so try finding the slopes of DC and AB, If they are equal that means, the sides are parallel. Do the same for AD and BC.

The point-slope form of a line is y-y1 = m(x-x1), where m is the slope and x1 is a point on the line.
A. True
B. False

Answers

Answer:

False.

Step-by-step explanation:

A point on the cordinate plane needs an x-coordinate and a y-coordinate.

The point is (x1, y1) not just x1.

The statement is true because the point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

The point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

Hence, the statement is true.

Learn more on Point-slope form of a line here: brainly.com/question/11624671

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Find the area of parallelogram BDKJ.

Answers

Answer:

6 x 4 = 24

Step-by-step explanation:

JC = 4

BD = 6

According to the general equation for conditional probability, if P(AuB)=3/7
and P(B) =7/8
what is P(AB)?​

Answers

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

Answer:

24/49

Step-by-step explanation:

I took the quizz

is a CR grade good or bad? ​

Answers

Really good if u don’t have strict parents

if the string forms a straight line, how high is the kite above the ground?

Answers

Answer:

102.44 feet

Step-by-step explanation:

This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:

[tex]\sin 52= \dfrac{x}{130}[/tex]

[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!

Evaluate q^2-5q+4, when q equals -2

Answers

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

please help and explain i will mark brainliesttt!

Answers

Answer:

y=(8/5)x-(24/5)

Step-by-step explanation:

lets find the slope

m=(y2-y1)/(x2-x1)

m=(8-0)/(8-3)

m=8/5

y=(8/5)x+b

lets find b, the y-int by plugging in a point

0=(8/5)*3+b

0=24/5+b

b=-24/5

y=(8/5)x-(24/5)

Use the graph to write the factorization of x^2-x-6.

Answers

Answer:

[tex](x+2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-x-6[/tex]

[tex]x^2-3x+2x-6[/tex]

[tex]x(x-3)+2(x-3)[/tex]

[tex](x+2)(x-3)[/tex]

Answer:

(x-3) (x+2)

Step-by-step explanation:

I just got the question right on the exam!

Can someone help me??

Answers

Answer:

67.5 degrees

Step-by-step explanation:

The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.

Full circle = 360 degrees

360 degrees - 90 degrees = 270 degrees

Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.

So, we need to divide 270 by 4. We get 67.5 degrees.

Hope this helps!

treviglaslibrary

Answer:

67.5 degrees

Step-by-step explanation:

Hope that helps

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