Question

Find the volume of the right circular cone whose height is 12 cm and slant length is 15 cm . (π = 3.14)

Answer 1

Slant length = l = 15 cm

Height = h = 12 cm

Radius of the base = r

We know , 

`l^2 = h^2 + r^2`

⇒ `r^2 = l^2 - h^2`

⇒ r = `sqrt(l^2 - h^2)`

⇒ r = `sqrt(15^2 - 12^2)`

⇒ r = 9 cm

Radius = 9 cm

Volume = `1/3 xx (pir^2) xx h`

= `1/3 xx 3.14 xx 9 xx 9 xx 12`

= 1017.36 cm³

Volume of the cone = 1017.36 cm³