Answer:
The equation that represents the volume of a cone with the same base and height as the cylinder is [tex]\frac{1}{3}\pi t^2k[/tex]
Step-by-step explanation:
Given:
The height of the cylinder = k
The Radius of the cylinder = t
To Find:
Equation representing the volume the cone = ?
Solution:
We know that the volume of the cone is
=> [tex]\frac{1}{3}\pi r^2 h[/tex]
where
r is the radius of the cone
h is the height of the cone
Here the radius of the cone = radius of the cylinder = t
and height of the cone = height oft the cylinder = k
then
the volume of the cone will be
=>[tex]\frac{1}{3}\pi t^2k[/tex]
