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Mathematics

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

Mensuration

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Answer

Radius = Diameter2=3.52=1.75\dfrac{\text{Diameter}}{2} = \dfrac{3.5}{2} = 1.75 m.

Height = 12 m.

Volume of cone = 13πr2h\dfrac{1}{3}πr^2h

Putting values in equation we get,

Volume of cone,

=13×227×(1.75)2×12=22×3.0625×123×7=808.521=38.5= \dfrac{1}{3} \times \dfrac{22}{7} \times (1.75)^2 \times 12 = \dfrac{22 × 3.0625 × 12}{3 \times 7} = \dfrac{808.5}{21} = 38.5 m3.

Since, 1 m3 = 1 kiloliters.

Hence, capacity of pit = 38.5 kiloliters.

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