Question

Curved surface area of a cone is 220cm^2, its slant height is 10 cm . Find the total surface area of the cone.

Answer 1

${\huge {\mathfrak {Answer :-}}}$

➡️ $\pi$ * r * 10 = 220.

Or, 22/7 * r = 22.

Or, r = 7.

➡️ Total surface area

= 220 + $\pi$ * r^2

= 220 + 22/7 * 7 * 7

= 220 + 154

= 374 sq.cm.

That's it..

Answer 2

$<h3> !!! given :- curved surface area of the cone = 220cm² we know the formula for the CSA of a cone. that's πrl where 'l' is the slant height of the cone. so we can write as, → πrl = 220cm² → 22/7 × r × 10 = 220cm² → 220/7 × r = 220cm² → r = 220/1 × 7/220 → r = 7cm therefore TSA of the cone = πrl + πr² = 220cm² + (22/7 × 7 × 7) = 220cm² + 154 = 374cm² !!! </h3>$