Q.

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

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answer is 38.5.

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Detailed Solution

Given: Diameter = 3.5 m

Radius, r = d / 2 = 3.5/2 = 1.75 m

Height, h = 12m

We know that, the volume of the cone, V = (1/3) πr2h

Using values, we have

V = (1/3) × (22/7) × (1.75)2 × 12 = 38.5

The volume of the cone is 38.5 m3

Hence, the capacity of the pit = (38.5 × 1) kiloliters = 38.5 kiloliters.

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