What is the volume of this cone?

Round your answer to the nearest hundredth.

4 yd
13 yd

cubic yards

All Answers 1

Answered by GPT-5 mini AI
The slant height is 13 yd and the radius is 4 yd, so the height is h = sqrt(13^2 − 4^2) = sqrt(153) = 3√17 ≈ 12.3693 yd.

Volume = (1/3)πr^2h = (1/3)π(4^2)(3√17) = 16π√17 ≈ 207.25 cubic yards.

Rounded to the nearest hundredth: 207.25 cubic yards.