Math, asked by sarhadole256, 1 year ago

A right angled triangle of sides 20 cm, 21 cm and 29 cm is made to rotate on the longest side. Find the volume of cone so formed.

Answers

Answered by Fatimakincsem
0

The volume of the cone is V = 420  π  cm^3

Step-by-step explanation:

Sin  θ = 20 / 29

Radius "r" = BC sin θ

                 = 21 x 20 / 29 cm

Now

volume of upper cone + volume of lower cone

= πr^2 H + πr^2 h

 = πr^2 ( H + h)       [ Since H + h = 29]

= π x 21 x 20  / 29 x 29

=  21 x 20π

V = 420  π  cm^3

Thus the volume of the cone is V = 420  π  cm^3

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