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A sphere of radius rcm has the same volume as cylinder of radius 3cm and...

Mathematics
WAEC 2016

A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
  • A. \(\frac{2}{3}\)
  • B. 2
  • C. 3
  • D. 6
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Correct Answer: Option C
Explanation
Volume of sphere = Volume of cylinder

i.e. \(\frac{4}{3} \pi r^3 = \pi r^2 h\)

\(\frac{4}{3} \pi r^3 = \pi \times 3^2 \times 4\)

r3 = \(\frac{\pi \times 9 \times 4 \times 3}{4 \pi}\)

r = 3\(\sqrt{27}\)

= 3

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