The volume of a hemispherical bowl is 718 frac ... - JAMB Mathematics 2007 Question
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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