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

The volume of a hemispherical bowl is \(718\frac{2}{3}\). Find its radius .
A
4.0 cm
B
5.6 cm
C
7.0 cm
D
3.8 cm
correct option: c

Volume of bowl (\frac{2}{3}\pi r^2\

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

\frac{2156}{3}=\frac{2}{3} \times \frac{22}{7} \times r^3

∴r^3 = \frac{2156 \times 3 \times 7}{3 \times 2 \times 22}\

r^3 = 343\

r = \sqrt[3]{343}\

r= 7.0cm)

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