Mathematics

The volume of a hemispherical bowl is (718frac{2}{3}). Find its radius .

The volume of a hemispherical bowl is (718frac{2}{3}). Find its radius .
  • A.
    4.0 cm
  • B.
    5.6 cm
  • C.
    7.0 cm
  • D.
    3.8 cm
Correct Answer: Option C
Explanation

Volume of bowl (frac{2}{3}pi r^2\
718frac{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)