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

Q : 5    A conical pit of top diameter \small 3.5 m is 12 m deep. What is its capacity in kilolitres?

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Given,

Depth of the conical pit  = h =12\ m

The top radius of the conical pit = r = \frac{3.5}{2}\ m

We know,
The volume of a right circular cone = \frac{1}{3}\pi r^2 h

\therefore The volume of the conical pit =

  = \frac{1}{3}\times\frac{22}{7}\times \left (\frac{3.5}{2} \right )^2\times12

\\ = \frac{1}{3}\times\frac{22}{7}\times \frac{3.5\times 3.5}{4}\times12 \\ \\ = 22\times 0.5\times 3.5 \\ = 38.5\ m^3

Now, 1\ m^3 = 1\ kilolitre

\therefore The capacity of the pit = 38.5\ kilolitre

 

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