Mathematics High School

A solid wooden cone of a diameter 14 cm and vertical length 24 cm is vertically cut into two equal halves. One half is to be covered by colourful paper at the rate of Rs. 7 per sq. cm, find the total cost of the paper required.
(The answer must come Rs. 5950)
plz anyone ASAP help. ​

A Solid Wooden Cone Of A Diameter 14 Cm And Vertical Length 24 Cm Is Vertically Cut Into Two Equal Halves.

Answers

Answer 1

Answer:

The answer given is incorrect

The correct answer is Rs. 3640

A Solid Wooden Cone Of A Diameter 14 Cm And Vertical Length 24 Cm Is Vertically Cut Into Two Equal Halves.
A Solid Wooden Cone Of A Diameter 14 Cm And Vertical Length 24 Cm Is Vertically Cut Into Two Equal Halves.
Answer 2

The total cost of the paper required to cover one-half of the wooden cone is Rs. 3846.5.

What is the surface area of a cone?

The surface area of a cone is given by the formula:

surface area = π x r x s

where r is the radius of the base of the cone and s is the slant height of the cone. The slant height of the cone is the distance from the apex of the cone to the base, measured along the surface of the cone.

In this case, the diameter of the base of the cone is 14 cm, so the radius is half the diameter or 14 cm / 2 = 7 cm.

The vertical length of the cone is 24 cm, so the slant height of the cone is the square root of the vertical length squared plus the radius squared:

s = √(24² + 7²)

s = √(576 + 49)

s = √(625)

Which simplifies to:

s = 25 cm

Now that we have the radius and slant height of the cone, we can use the formula for the surface area of a cone to find the surface area of one-half of the cone:

surface area = π x 7 cm x 25 cm = 175π cm²

To find the total cost of the paper required, we need to multiply the surface area by the cost per square centimeter:

total cost = 175 x 3.14 cm² x  Rs.7/cm² = Rs. 3846.5

Therefore, the cost of the paper needed to cover one-half of the wooden cone is Rs. 3846.5.

Learn more about the cones here:

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