Question

How much broth can a bowl in the shape of a hemisphere hold? The diameter of the bowl is 10.2 inches. Use 3.14 as an approximation for pi. Round your answer to the nearest whole number.
A. 4,443 in^3
B. 278 in^3
C. 2,221 in^3
D. 555 in^3

Answer 1

Volume of a hemisphere = (1/2)(4/3)πr^3 = (2/3)πr^3.
Diameter = 10.2 in → r = 5.1 in.
Compute: V = (2/3)(3.14)(5.1^3) = (2/3)(3.14)(132.651) ≈ 277.683 in^3 ≈ 278 in^3.

Answer: B.