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Question

The height and radius of the base of a cone are 28cm and 21cm respectively. Find its curved surface area, total surface area, and the volume.

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Solution

Given, height of cone (h)=28cm.
Radius of base (r)=21cm
Slant height of the cone l=r2+h2
=(21)2+(28)2=441+784=1225=35×35=35cm Curved surface area =πrl=227×21×35=2310cm2
Total surface area of the cone
=πr(l+r)=227×21(35+21)=22×3×56=3696cm2
Volume of the cone =13πr2h
=13×227×21×21×28
=12936cm3

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