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A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres? Assume [Assume π=227] - Mathematics

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Question

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

`["Assume "pi=22/7]`

 

Sum

Solution

Radius (r) of pit = `(3.5/2) m` = 1.75 m

Height (h) of pit = Depth of pit = 12 m

Volume of pit = `1/3pir^2h`

= `[1/3xx22/7xx(1.75)^2xx12]cm^3`

= 38.5 m3

Thus, the capacity of the pit

= (38.5 × 1) kilolitres

= 38.5 kilolitres

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Chapter 13: Surface Area and Volumes - Exercise 13.7 [Page 233]

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NCERT Mathematics [English] Class 9
Chapter 13 Surface Area and Volumes
Exercise 13.7 | Q 5 | Page 233

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