A conical pit of top diameter 3.5 , m is 12 , | vedclass

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(B) Given, diameter of the conical pit $= 3.5 \, m$.Radius $(r) = \frac{3.5}{2} \, m = 1.75 \, m$.Depth $(h) = 12 \, m$.The volume (capacity) of a con

Vedclass · Accepted Answer

$38.5$

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(B) Given, diameter of the conical pit $= 3.5 \, m$.Radius $(r) = \frac{3.5}{2} \, m = 1.75 \, m$.Depth $(h) = 12 \, m$.The volume (capacity) of a cone is given by the formula $V = \frac{1}{3} \pi r^2 h$.Substituting the values: $V = \frac{1}{3} 	imes \frac{22}{7} 	imes (1.75)^2 	imes 12 \, m^3$.$V = \frac{1}{3} 	imes \frac{22}{7} 	imes \frac{35}{20} 	imes \frac{35}{20} 	imes 12 \, m^3$.$V = \frac{22}{7} 	imes \frac{7}{4} 	imes \frac{7}{4} 	imes 4 \, m^3 = 38.5 \, m^3$.We know that $1 \, m^3 = 1000 \, litres = 1 \, kilolitre (kl)$.Therefore, the capacity of the pit is $38.5 \, kl$.

$A$ conical pit of top diameter $3.5 \, m$ is $12 \, m$ deep. What is its capacity in kilolitres (in $kl$)?

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