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)A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume (in cm³ in terms JAMB]

what is the answer


User Beardc
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1 Answer

7 votes

Explanation:

To calculate the volume of the bucket, we can use the formula for the volume of a frustum (a truncated cone):

V = (1/3)πh (r₁² + r₂² + r₁r₂)

where h is the height of the frustum, r₁ and r₂ are the radii of the top and bottom circles respectively.

In this case, the height (h) of the frustum is 4 cm, the top radius (r₁) is half of the top diameter, which is 12 cm / 2 = 6 cm, and the bottom radius (r₂) is half of the bottom diameter, which is 8 cm / 2 = 4 cm.

Substituting these values into the formula, we get:

V = (1/3)π(4) (6² + 4² + 6*4)

= (1/3)π(4) (36 + 16 + 24)

= (1/3)π(4) (76)

= (4/3)π(38)

= 50.265 cm³ (approx)

Therefore, the volume of the bucket is approximately 50.265 cm³.

User EnzoTrompeneers
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