passpadi

2002

Mathematics

67ca00ce0c643c71d77dee1f

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: 304π/3 cm3

Explanation

Volume of a frustrum with top of radius R and bottom r and height h = (1/3)π( R2 + Rr + r2) V = 1/3π × 4 × (62 + 6 × 4 + 42) = 304/3πcm3

Volume of a frustrum with top of radius R and bottom r and height h = (1/3)π( R2 + Rr + r2) V = 1/3π × 4 × (62 + 6 × 4 + 42) = 304/3πcm3
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