A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume and the curved surface of the solid so formed.

Question

Philoid · Accepted Answer

As the right triangle is revolved about the side 8 cm, it forms a cone of height 8 cm and radius, 6 cm.

Then, volume of cone = 1/3 πr²h

Curved surface area of cone is given by

CSA = πrl = πr√(r² + h²)

⇒ CSA = 22/7 × 6 √(6² + 8²)

⇒ CSA = 22/7 × 6 × √100

⇒ CSA = 22/7 × 6 × 10

⇒ CSA = 188.57 cm²

Thus, volume of the cone is 301.71 cm³ and curved surface area of cone is 188.57 cm².