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)

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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