Question

Find the curved surface area of a right circular cone whose height is 15 cm and base radius is 8 cm. tan β = `3/4`.

Answer 1

Given, height of cone, h = 15 cm

Base radius of cone, r = 8 cm

∴ Slant height of cone, l = `sqrt(h^2 + r^2)`

= `sqrt((15)^2 + (8)^2)`

= `sqrt(225 + 64)`

= `sqrt(289)`

= 17 cm

Now, curved surface area of cone = πrl

= `22/8 xx 8 xx 17`

= `2992/7`

= 427.429 cm²