Question

A cone shaped block that has a slant height of 6 inches and has a radius of 4 inches . How many square inches of paper would it take the cover the surface?

Answer 1

`T.S.A=40\pi in^2`

Explanation:

The total surface area of the cone is

`\pi r^2+\pi rl`

The radius of the cone is 4 inches.

The slant height of the cone is l=6 inches.

We substitute these values into the formula to obtain;

`T.S.A=\pi * (4)^2+\pi * 4*6`

`T.S.A=16\pi+24\pi`

`T.S.A=40\pi in^2`

Or

`T.S.A=125.7in^2` to the nearest tenth.