Question

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.

Answer 1

According to the question, the solid formed is a cone whose height of a cone, h = 8 cm and radius of a cone, r = 6 cm.

Slant height of a cone, 1 = 10 cm.

So, Volume of a cone = `1/3 pir^2h = 1/3 xx 22/7 xx 6 xx 6 xx 8`

`6336/21 = 301.7  cm^3`

Now, curved surface of the area of cone = πrl

= `22/7 xx 6 xx 10`

= `1320/7`

= 188.5 cm²

Therefore, the volume and surface area of a cone are 301.7 cm³ and 188.5 cm², respectively.