Find the volume and surface area of the double cone formed, Mathematics

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A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

(Ans : 3768cu.cm,1318.8  Sq.cm)

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Ans:    BC = √152 + √202

= 25 cm

Apply Py. Th to right ΔOAB & OAC to get OB = 9cm       OA = 12cm

Vol of double cone     = vol of CAA1 + vol of BAA1

= 1/3 π × 122  × 16 + 1/3 π × 122 × 9

= 3768 cm3

SA of double cone      = CSA of CAA1 + CSA of BAA1

= π ×  12 × 20 +π × 12 × 15

= 1318.8 cm3


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