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Black_prince [1.1K]
3 years ago
13

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

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

Therefore, the capacity of conical pit is 38.5 kilolitres.

Step-by-step explanation:

Given:

Shape is of Cone

Diameter = d = 3.5 m

∴ Radius = \dfrac{3.5}{2}=1.75

Deep = Height = h = 12 m

Pi=\dfrac{22}{7}

To Find:

Volume of Conical Pit( in kilolitres) = ?

Solution:

Volume of Cone is given by the formula,

\textrm{Volume of Cone}=\dfrac{1}{3}\pi (radius)^{2} \times height

Substituting the values we get

\textrm{Volume of Cone}=\dfrac{1}{3}\times \dfrac{22}{7}\times (1.75)^{2} \times 12=38.5\ m^{3}

Also,

1\ m^{3}=1000\ Litres=1\ kilolitres\\\\\therefore 38.5\ m^{3}=38.5\ kilolitres

Therefore, the capacity of conical pit is 38.5 kilolitres.

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