Question

The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height

Answer 1

Answer:

$V_2 = 583.67$

Step-by-step explanation:

Given

Represent the volume of the cylinder with V1 and the cone with V2.

So:

$V_1 = 1751$

Required

Find V2

The volume of a cylinder is:

$V_1 = \pi r^2h$

Because the cone and the cylinder have the same base area and height, the volume of the cone is:

$V_2 = \frac{1}{3}\pi r^2h$

Substitute $V_1$ for $\pi r^2h$.

$V_2 = \frac{1}{3}\pi r^2h$

$V_2 = \frac{1}{3}V_1$

Substitute 1751 for V1

$V_2 = \frac{1}{3} * 1751$

$V_2 = \frac{1* 1751}{3}$

$V_2 = \frac{1751}{3}$

$V_2 = 583.67$

The volume of the cone is 583.67 cubic units