The area of the base of a right circular cone is 154 cm2 and its height is 14 cm. Its curved surface area is

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KollegeApply · Accepted Answer

154 sqrt(5) "cm"^2 Area of the base of the of a right circular cone = $\pi$r2 Therefore, => $\frac{22}{7}$xx"r"^2 = 154 => "r"^2 = (154xx7/22) $\Rightarrow$ r2 = 49 $\Rightarrow$ r= 7 cm Now, r = 7 cm and h = 14 cm Then, slant height of the cone,"l" = sqrt("r"^2 + "h"^2) =sqrt((7)^2 + (14)^2) =sqrt(49 + 196) = sqrt(245) = 7sqrt(5) "cm" Hence, the curved surface area of the cone = $\pi$rl `= ($\frac{22}{7}$xx7xx7xxsqrt(5)) "cm"^2 =154 sqrt(5) "cm"^2`

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