Question on: JAMB Mathematics - 2007
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
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Correct Option: C
Volume of bowl \(\frac{2}{3}\pi r^2\\
718\frac{2}{3}=\frac{2}{3}\pi r^2\\
\frac{2156}{3}=\frac{2}{3} \times \frac{22}{7} \times r^3
∴r^3 = \frac{2156 \times 3 \times 7}{3 \times 2 \times 22}\\ r^3 = 343\\ r = \sqrt[3]{343}\\ r= 7.0cm\)
∴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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