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The volume of a hemispherical bowl is 71823....

The volume of a hemispherical bowl is 71823. Find its radius .

A.

4.0 cm

B.

5.6 cm

C.

7.0 cm

D.

3.8 cm

Correct answer is 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