A cylindrical bucket of diameter 28 cm and height 20 cm was full of sand. When the sand in the bucket was poured on the ground, the sand got converted into a shape of a cone. If the height of the cone was 14 cm, what was the base area of the cone?

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: 2640 cm²

Volume of sand \(=\pi r^2h=\dfrac{22}{7}\times14^2\times20=12320\) cm³.

For the cone, \(\tfrac13\times\text{base area}\times14=12320\).

\[\text{Base area}=\frac{12320\times3}{14}=2640\ \text{cm}^2\]

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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