Question

the height of a cone is twice its diameter. the cone has a radius of 3 units. what is the exact volume, in cubic units, of the cone, in terms of pie?

Answer 1

Hello!

The height is twice the diameter

The diameter is twice the radius

diameter = 3 * 2 = 6

Height = 6 * 2 = 12

The height is 12

The equation for the volume of a cone is

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

V is volume
r is radius
h is height

Put in the values we know

$V = \pi 3^{2} \frac{12}{3}$

Simplify the equation

$V = \pi 9 * 4$

Multiply

$V = 36 \pi$

The answer is $36 \pi$

Hope this helps!