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A right triangle, whose sides are 3 cm a...

A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

Text Solution

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We will find out the above values for 1 cone and then multiply by 2 for the double cone.
Height of single cone=2.4cm,radius=2.5cm
Slant height of cone L=`sqrt( 2.5^2+2.4^2)=3.4 cm`
Volume of double cone=`2/3 xx pixx 5/2xx5/2xx2.4=220/7(cm)^3` Surface area of double cone=>`2pirl=2xx22/7xx2.5xx3.4=53.4(cm)^2`
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