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Diameter of base of a cone is 10.5cm and its slant height is 10cm. find its curved surface area​

Answer»

Given:

  • Diameter of BASE of a cone is 10.5cm and its Slant Height is 10cm.

To FIND:

  • Curved surface area (CSA) of the cone.

Formula Used:

  • \sf{CSA \: of \: cone = \pi \: rl}

Solution

Let us FIRST find out radius of the cone with the help of radius provided in the QUESTION.

\\ \longrightarrow\rm{r = \frac{d}{2} } \\ \\ \longrightarrow\rm{r = \dfrac{\cancel{10.5}}{\cancel{2}}} \\ \\ \longrightarrow\rm{r = 5.25cm}

Here,

  • \tt{\pi = 3.14}

  • \tt{r = 5.25}

  • \tt{l = 10}

Substituting values,

\\ \longrightarrow\bf{3.14 \times 5.25 \times 10} \\ \\ \longrightarrow\bf{16.485 \times 10} \\ \\ \longrightarrow\bf{164.85} \\ \\ \longrightarrow\bf{165 {cm}^{2} \: (approx) }

Thus,

\therefore The CSA of cone is 165cm².


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