Answer:
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
