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+1 vote
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in Mathematics by (20 points)

The volume of a right circulercone is 9856 cm3 if the diameter of the base is 28cm  find = slant height of the cone

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1 Answer

+1 vote
by (10.9k points)

 We know for right circular cone

Volume (V)=1/3×π(d^2/4)×h, where d is diameter and h is height.

So 9856=1/3×22/7×14^2×h

=>h=(9856×3×7)/(22×14×14)=48cm

Radius r=d/2=14cm

So slant height 

l=√(h^2+r^2)=√(48^2+14^2)=50cm

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