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The volume of a right circular conical t...

The volume of a right circular conical tent is `1232c c`. If the height of the tent be 24 metres, the area of the base of the cone will be .

A

140sq-m

B

145sq-m

C

154sq-m

D

160sq-m

Text Solution

Verified by Experts

Let the radius of the base of the tent be r metre .`therefore` the volume of the tent `=(1)/(3)pi r^2xx24c c`
`therefore (1)/(3)xx(22)/(7)xxr^2xx24=1232 or , r^2=(1232xx3xx7)/(22xx24)`
`therefore` the area of the base of tent `= pi r^2sq-cm=(22)/(7)xx(1232xx7xx3)/(22xx24)sq-cm=154sq-cm`.
`therefore` (c) is correct.
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