A bucket is frustum shaped. Its height is 28 cm. Radii of circular faces are 12 cm and 15 cm. Find the capacity of the bucket in litres. \(\left(\pi = \dfrac{22}{7}\right)\)

Q.3 (B)(4) A bucket is frustum shaped. Its height is 28 cm. Radii of circular faces are 12 cm and 15 cm. Find the capacity of the bucket in litres. \(\left(\pi = \dfrac{22}{7}\right)\)

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: 16.104 litres

Capacity of a frustum = \(\dfrac{1}{3}\pi h (r_1^2 + r_1 r_2 + r_2^2)\), with \(r_1 = 15\) cm, \(r_2 = 12\) cm, h = 28 cm.

\(r_1^2 + r_1 r_2 + r_2^2 = 225 + 180 + 144 = 549\).

V = \(\dfrac{1}{3} \times \dfrac{22}{7} \times 28 \times 549 = \dfrac{1}{3} \times 22 \times 4 \times 549 = 22 \times 4 \times 183 = 16104\) cm³.

1 litre = 1000 cm³, so capacity = \(\dfrac{16104}{1000}\) = 16.104 litres.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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A bucket is frustum shaped. Its height is 28 cm. Radii of circular faces are 12 cm and 15 cm. Find the capacity of the bucket in litres. \(\left(\pi = \dfrac{22}{7}\right)\)

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