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# The radius and slant height of a cone are 7 cm and 10 cm respectively. Find its curved surface area. ($\pi = \dfrac{{22}}{7}$ )

Last updated date: 17th Jul 2024
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Hint: Here, we will be proceeding by drawing a diagram using the given data (radius and slant height of the cone) and determine the curved surface area of this cone with the help of formula for the curved surface area of the cone i.e., ${\text{C}}{\text{.S}}{\text{.A}} = \pi rl$.

${\text{C}}{\text{.S}}{\text{.A}} = \pi rl$
${\text{C}}{\text{.S}}{\text{.A}} = \pi rl = \dfrac{{22}}{7} \times 7 \times 10 = 220{\text{ c}}{{\text{m}}^2}$
Note: In any cone with radius r and height h, the slant height h is given by $l = \sqrt {{r^2} + {h^2}}$. For calculation of curved surface area of the cone (${\text{C}}{\text{.S}}{\text{.A}} = \pi rl$), radius and slant height of the cone is required. But if instead of slant height l, height of the cone h is given then we will be using formula $l = \sqrt {{r^2} + {h^2}}$ to find the value of slant height first.