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?

Question

asked Nov 25, 2020 92.8k views

1 Answer

Sergei Zinovyev · Answer 1 · 2020-11-29T02:19:11+0000

Answer:

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

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.