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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)`
Solution
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.
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