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Question

Match the unknown x for a cylinder with radius 'r ', height '2r' and volume 'V' (all measures in cm).

A
16π cm3
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B
54π cm3
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C
8 cm
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D
3 cm
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Solution

Given h = 2r,
Therefore, volume V=πr2h=πr2×2r=2πr3

If h = 4 cm r = 2 cm, V=2π(2)3=16π cm3

If r = 3 cm, h = 6 cm, V=2π(3)3=54π cm3

If V=128π cm3, then r3=128π2π
r3=64=43
r = 4 cm
So, h = 2r = 2 (4) = 8 cm.

If V=54π cm3r3=54π2π
r3=27=33
r = 3 cm.

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