Question

The formula for the volume of a cone is given. Which equation is solved for r, the radius of the base of the cone?

A) V = 1/3 π r^2 h
B) r = √(3V/πh)
C) r = V/(3πh)
D) r = 1/3 π V/h

Answer 1

The equation solved for r, the radius of the base of the cone, is B) r = √(3V/πh).

Step-by-step explanation:

The equation solved for r, the radius of the base of the cone, is B) r = √(3V/πh).

To solve for r, we need to isolate r in the equation. We start by multiplying both sides of the equation by πh to get rid of the denominator. This gives us r(πh) = √(3V).

Next, we divide both sides of the equation by √(3V) to solve for r, resulting in r = √(3V/πh).