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Calculate the total surface area of a frustum cone:

D = 2 cm, d = 1 cm, s = 10 cm.

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109.9

{cm}^{2}

255.48

{cm}^{2}

235.48

{cm}^{2}

215.48

{cm}^{2}

answer is A.

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Detailed Solution

Given that,
D = 2 cm, d = 1 cm, s = 10 cm.
Diameter = radius

\times 2

Radius, R = 1 cm, r = 0.5 cm
Total surface area =

π (R + r) s + π R^{2} + π r^{2}

\Rightarrow 3.14 (1 + 0.5) \times 10 + π \times 1^{2} + π \times {0.5}^{2}

\Rightarrow 3.14 \times 15 + 3.14 \times 1 + 0.25 \times 3.14

\Rightarrow 51.025 {cm}^{2}

Therefore, total surface area of a frustum cone is

51.025 {cm}^{2}

.
Hence, the correct option is 1.

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