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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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 = \(\frac{1}{3} \pi \times 4 \times (6^2 + 6 \times 4 + 4^2)\)
= \(\frac{304}{3} \pi cm^{3}\)
Source: Myschool Past Questions Archive (Record #3377)