Question on: JAMB Mathematics - 2007

The volume of a hemispherical bowl is 718(\frac{2}{3}) cm3. Find its radius.

A
4.0cm
B
7.0cm
C
3.8cm
D
5.6cm[\(\pi\) = \(\frac{22}{7}\)]
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Correct Option: B

Volume of hemisphere = (\frac{2}{3}\pi r^3)

(\frac{2}{3}\pi r^3) = 718(\frac{2}{3})

(\frac{2}{3}) x (\frac{22}{7} r^3)

= (\frac{2156}{3})

r3 = (\frac{2156}{3}) x (\frac{3}{2}) x (\frac{7}{22})

r3 = 49 x 7

r = 3(\sqrt{343})

= 7cm3

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