Question

A cylinder has a volume of 1200 meters cubed. What is the volume of a cone with the same radius and height?

Answer 1

cylinder volume is pi*r^2*h where r is radius and h is height
pir^2h=1200 meters

volume of a cone is pi*r^2*h/3
then its volume should be 1/3 of cylinder 1200/3=400meters cube

Answer 2

Answer: 400 meters cubed

Explanation:

The volume of cylinder is given by :-

`\text{Volume of cylinder}=\pi r^2 h`, where r is radius and h is height of the cylinder.

The volume of cone is given by :-

`\text{Volume of cone}=(1)/(3)\pi r^2 h`, where r is radius and h is height of the cone.

When they both have the same radius and height, then we have

`\text{Volume of cone}=(1)/(3)*[\text{Volume of cylinder}]\\\\\Rightarrow\ \text{Volume of cone}=(1)/(3)*1200\\\\\Rightarrow\ \text{Volume of cone}=400 \text{ meters cubed}`