Question

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

Answer 1

check the picture below.

Answer 2

Volume of cone
`V=(\pi.t^(2).k)/(3)`

Explanation:

Since cone is having same base and height that means base of the cone is circular with radius t and height of the cone is k same of cylinder shown.

Now volume of a cone V =
`(1)/(2)\pi .r^(2).h`

Since r = radius of the base of cone

h = height of the cone

Now we put the values of height and radius in the formula

`V=(\pi.t^(2).k)/(3)`

So the equation that represents the volume of cone is V =
`(\pi.t^(2).k)/(3)`