Answer:
r = √3V/√πh
Step-by-step explanation:
V = 1/3πr²h
where,
V = volume of the cone
r = radius of the cone and
h = height of the cone.
Rewrite the formula to solve for the positive value of r in terms of h and V.
V = 1/3πr²h
V = 1/3 * π * r² * h
r² = V ÷ 1/3 * π * h
r² = V ÷ πh/3
r² = V × 3/πh
r² = 3V / πh
find the square root of both sides
√r² = √3V / πh
r = √3V/πh
Also written as
r = √3V/√πh
