Question

Can someone help me with my last question.

Answer 1

Given:

Volume of the cone = 23,942.5 cubic cm

Radius of the cone = 25 cm

The value of π ≈ 3.14

To find:

The height of the cone

Solution:

Volume of the cone formula:

$V=\frac{1}{3} \pi r^2h$

Substitute the given values.

$\frac{1}{3} \times 3.14 \times 25^2\times h=23942.5$

$\frac{1}{3} \times 3.14 \times 625\times h=23942.5$

$654.17\times h=23942.5$

Divide by 654.17 on both sides.

$\frac{654.17\times h}{654.17} =\frac{23942.5}{654.17}$

$h=36.6$ cm

The height of the cone is 36.6 cm.