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# Diameter of the base of the cone is $10.5cm$ and its slant height is $10cm$. Find its curved surface area.A.$104.85c{m^2}$B.$164.85c{m^2}$C.$100.75c{m^2}$D.None of these

Last updated date: 30th Mar 2023
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We know that the formula of curved surface area of the cone is $\pi rl$ where $r$ is radius of base of the cone and $l$ is slant height. In the given question we have given the diameter and we know the relation between radius and diameter which is $r = \dfrac{d}{2}$. On putting the values $r = \dfrac{d}{2} = \dfrac{{10.5}}{2} = 5.25cm$.Now we have got the radius so let’s put all the values in the formula
$\begin{gathered} \pi rl \\ = 3.14 \times 5.25 \times 10 \\ = 3.14 \times 52.5 \\ = 164.85 \\ \end{gathered}$
Hence the required curved surface area is $164.85c{m^2}$.