Question

The formula for the volume of a right circular cone, V, is given below, where r represents the radius of the base of the cone and h represents its height. Determine which of the steps below are needed to solve the formula for r.

Answer 1

MULTIPLY BOTH SIDES OF THE EQUATION BY 3, TAKE THE SQUARE ROOT OF BOTH SIDES OF THE EQUATION, AND DIVIDE BOTH SIDES OF THE EQUATION BY πh . answer for PLATO

Explanation:

Answer 2

`r=\sqrt{(3V)/((\pi h))}`

Explanation:

we know that

The volume of a right circular cone is equal to

`V=(1)/(3)\pi r^(2)h`

where

r is the radius of the base of the cone

h is the height

Solve for r-----> That means, isolate the variable r

so

step 1

Multiply by 3 both sides

`3V=\pi r^(2)h`

step 2

Divide by
`(\pi h)` both sides

`(3V)/((\pi h))=r^(2)`

step 3

take square root boot sides

`r=\sqrt{(3V)/((\pi h))}`