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## VOLUME OF CYCLINDER V= PIE R SQUARE H, GIVEN THAT V=72CMCUBE, H=9CM;find the radius

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# 1 Answer

Hello Judith,

V = pi * r^{2} * h (formula)

Given V = 72cm^{3}, h = 9cm

Solve the formula for r

V = pi * r^{2} * h

V/(pi * h) = (pi * r^{2} * h)/(pi * h) (isolate r^{2} by dividing both sides by pi * h)

V/(pi * h) = r^{2}

√(V/(pi * h)) = √(r^{2}) (take square root of both sides)

√(V/(pi * h)) = r

√(72/(3.14 * 9)) = r (substitute the values of V, pi, and h)

√2.55 = r

1.6 = r or **r = 1.6cm ---------->(answer)**

Hope this helps.