JAMB - Mathematics (2002 - No. 27)

A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.

304π/3 cm³

144π cm³

128π cm³

72π cm³

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 = \(\frac{1}{3} \pi \times 4 \times (6^2 + 6 \times 4 + 4^2)\)

= \(\frac{304}{3} \pi cm^{3}\)