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Question

Mathematics Question on Volume of a Right Circular Cone

A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kiloliters?

Answer

Radius of the conical pit, r = 3.52\frac{3.5}{2} m = 1.75 m
Depth of the conical pit, h = 12m

conical pit of top diameter 3.5 m is 12 m deep
Volume of conical pit = 13π\frac{1}{3}\pir²h
= 13\frac{1}{3} × 227\frac{22}{7} × 1.75 m × 1.75 m × 12 m
= 38.5 m³
= 38.5 × 1 kiloliter's
= 38.5 kl
∴ Capacity of the conical pit is 38.5 kiloliters.