Question

The curved surface area of a cone is 2200 sq.cm and its slant height is 50 cm. Find the total surface area of cone. `(π = 22/7)`

Answer 1

Let the radius of the base of the cone be r cm.

Slant height of the cone, l = 50 cm

Curved surface area of the cone = 2200 cm²

∴ πrl = 2200 cm²

⇒ `22/7 xx r xx 50` = 2200

⇒ r = `[2200 xx 7]/[22 xx 50]`

⇒ r = 14 cm

∴ Total surface of the cone = πr(r + l)

= `22/7 xx 14 xx (14 + 50)`

= `22/7 xx 14 xx 64`

= 2816 cm²

Thus, the total surface area of the cone is 2816 cm².