The formula for the volume of a cone is v = 1 3 πr2h, where r is the radius and h is the height of the cone. what is r in terms of h and v?

r which is the radius in terms of V and h

Is

r = √3V/πh

Step-by-step explanation:

The formula is that of a cone which is meant to be V = 1/3(πr²h)

To fully solve the problem we need to understand how to change subject of a formula because this problem seek to test us on that

Let us begin step wise

Step one

Given the expression

V = 1/3(πr²h)

To find r in terms of V and h means to make r stand on its on or better still make it the subject of the formula

Step two

Let us divide both sides by πh

V/πh=r²/3

r²/3 = V/πh

Crosss multiplying we have

r² = 3V/πh

Step three

Let us square root both sides to make r the subject

r = √3V/πh