Question

Which equation represents the volume of a cone with the same base and height as the cylinder below?

Vcone=(pie)t2k
Vcone=1/3(pie)t2k
Vcone=1/2(pie)t2k
Vcone=3(pie)t2k

Answer 1

its b

Explanation:

i took the test

Answer 2

The equation that represents the volume of a cone with the same base and height as the cylinder is
`(1)/(3)\pi t^2k`

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

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

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

=>
`(1)/(3)\pi t^2k`