JAMB - Mathematics (2007 - No. 37)
The volume of a hemispherical bowl is \(718\frac{2}{3}\). Find its radius .
4.0 cm
5.6 cm
7.0 cm
3.8 cm
Explanation
Volume of bowl \(\frac{2}{3}\pi r^3\\
718\frac{2}{3}=\frac{2}{3}\pi r^3\\
\frac{2156}{3}=\frac{2}{3} \times \frac{22}{7} \times r^3
∴r^3 = \frac{2156 \times 3 \times 7}{3 \times 2 \times 22}\\
r^3 = 343\\
r = \sqrt[3]{343}\\
r= 7.0cm\)
718\frac{2}{3}=\frac{2}{3}\pi r^3\\
\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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