Make h the subject of the relation V=π r²h.

Correct Answer is : h=Vπr2h={V}{π r²}h=πr2V

Correct Answer is : h=Vπr2h={V}{π r²}h=πr2V

Test Index

BECE Mathematics 2021 Paper

Question : 19

Total: 40

Make

h

V=\pi r^{2}h

Solution:

Concept:

To make

h

the subject, isolate

h

by dividing both sides of the equation by the factor multiplying it.

Explanation:

We start with

V=\pi r^{2}h

Here,

h

is multiplied by

\pi r^{2}

Divide both sides of the equation by

\pi r^{2}

This gives

\frac{V}{\pi r^{2}}=\frac{\pi r^{2}h}{\pi r^{2}}

On the right side,

\pi r^{2}

cancels out.

So,

h=\frac{V}{\pi r^{2}}

This matches Option A.

Answer:

h=\frac{V}{\pi r^{2}}

Option A is correct.

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