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n 68):
A rectangular strip of $25 cm \times 7 cm$ is rotated about the longer side. Find the total surface area of solid thus generated.

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1408 {cm}^{2}

1406 {cm}^{2}

1405 {cm}^{2}

1404 {cm}^{2}

answer is A.

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Detailed Solution

Given,
The rectangular strip's dimensions

= 25 cm \times 7 cm

By turning the strip while it is on the longer side (25 cm), a solid (in the shape of a cylindrical) is created whose

Radius (r) = 7 cm

And

Height (h) = 25 cm

Total surface area of the solid generated (Cylindrical in shape)

= 2 πr (h + r)

\begin{matrix} = 2 \times \frac{22}{7} \times 7 (25 + 7) {cm}^{2} \\ = 44 \times 32 \\ = 1408 {cm}^{2} \end{matrix}

So, rectangle overall surface area

= 1408 {cm}^{2}

Hence, correct option is 1.

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