A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.
-
A.
304π/3 cm3 -
B.
144π cm3 -
C.
128π cm3 -
D.
72π cm3
Correct Answer: Option A
Explanation
Volume of a frustrum with top of radius R and bottom r and height h = (frac{1}{3} pi (R^{2} + Rr + r^{2}))
V = (frac{1}{3} pi times 4 times (6^2 + 6 times 4 + 4^2))
= (frac{304}{3} pi cm^{3})