A sphere of radius rcm has the same volume as c... - WAEC Mathematics 2016 Question
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
correct option: c
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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