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
jamb 2007mathematics

The correct answer is C. 7.0 cm

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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