Question

Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, cone–shaped figure with a radius of 2 cm, what will the height of the cone be?

a) 10 cm
b) 12 cm
c) 14 cm
d) 16 cm

Answer 1

The height of the cone will be approximately 9.3 cm.

Step-by-step explanation:

To find the height of the cone, we need to use the formula for the volume of a cone, which is V = 1/3 * π * r² * h, where V is the volume, r is the radius, and h is the height. Since the clay ball is shaped into a cone with a radius of 2 cm, we can plug in the values and solve for h:

V = 1/3 * 3.142 * 2² * h

9.278 = h

So the height of the cone is 9.278 cm, which is approximately 9.3 cm.