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Question

The volume of a right circular cone is 1232cm3 and its height is 24cm. Find the slant height of the cone.

Solution
Verified by Toppr

Given, height of cone (h)=24cm
Let radius of the cone be r.
Volume of the cone =1232cm3
13πr2h=123213×227×r2×24=1232r2=1232×3×722×24=49r=49=7×7r=7cm
radius of the cone =7cm
slant height of cone (l)=h2+r2
=(24)2+(7)2
=576+49
=625
=25×25
l=25cm
Hence, the slant height of the cone =25cm.

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