Question
If a right circular cone of height 24 cm has a volume of
1232 cm³, then the total surface area of the cone is (use π = 22/7):Solution
Given: Height h = 24 cm, Volume V= 1232 cm³, π = 22/7 Volume of cone: 1/3 π r2 h = 1232 r2 = 49 r = 7 Slant height: l = √(h2 + r2) = √625 = 25 cm Total surface area = πr (r + l) = 22 x 7 x (7 + 25) = 704 cm2
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