Question

the diameter of a cone is 16 meters. if the height is 1.5 times its radius what is the volume of the cone? Round to the nearest tenth.

Answer 1

The volume of the cone is given by:

`V=(1)/(3)\pi r^2h`

where r is the radius and h is the height.

In this case we have that the radius is 8 meters, this comes from the fact that the radius is half the diameter. Now the height is 1.5 times the radius, this meand that the height is:

`h=1.5\cdot8=12`

Plugging the values into the formula we have that the volume is:

`V=(1)/(3)\pi(8)^2(12)=804.2`

Therefore the volume is 804.2 cubic meters.