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Q.

The total surface area of a frustum cone is 311.56 $m^{2}$ . The area of larger and smaller circle is 12 and 8.4 $m^{2}$ . Find the curved surface area of a cone.

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a

191.16

m^{2}

b

391.16

m^{2}

c

491.16

m^{2}

d

291.16

m^{2}

answer is D.

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Detailed Solution

Given total surface area of a frustum cone 311.56

m^{2}

and area of larger and smaller circle is 12

m^{2}

and 8.4

m^{2}

.
Total surface area = curved surface area + Area of smaller circle + larger circle area

\Rightarrow 311.56 =

Curved surface area + 8.4 + 12

\Rightarrow 311.56 - 8.4 - 12

= Curved surface area

\Rightarrow

Curved surface area = 291.16

{cm}^{2}

.
Therefore, curved surface area is 291.16

{cm}^{2}

.
Hence, the correct option is 4.

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The total surface area of a frustum cone is 311.56 m 2. The area of larger and smaller circle is 12 and 8.4 m 2. Find the curved surface area of a cone.