Question

Which of the following equations is equivalent to s=πr^2h

Answer 1

The equation
`h=(s)/(\pi r^2)` is equivalent to
`s=\pi r^2h`. The correct option is B.

Explanation:

The given equation is

`s=\pi r^2h`

Divide both sides by
`\pi r^2` to isolate h.

`(s)/(\pi r^2)={\pi r^2h}{\pi r^2}`

Cancel out common factors.

`(s)/(\pi r^2)=h`

Therefore the equation
`h=(s)/(\pi r^2)` is equivalent to
`s=\pi r^2h`. The correct option is B.

Answer 2

h = s / π.r²

Explanation:

the given equation is s = π.r².h

Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.

This only possible when we divide term on both the sides by π.r²

s/π.r² = π.r².h/π.r²

h = s / π.r²

Therefore h = s / π.r² is the right option.