Question

3. The circumference of the base of a right circular cylinder is 220 cm. If the height of the cylinder is 2 m
find the lateral surface area of the cylinder.

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Answer 1

$\bf \huge {\underline {\underline \red{AnSwEr}}}$

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Given

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• Circumference of base of cylinder = 220cm

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• Height = 2m = 200cm

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To Find

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• Lateral Surface area of cylinder

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Solution

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Circumference of base of cylinder = 220cm

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$\bf \implies2\pi r = 220$

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$\bf \implies2 \times \frac{22}{7} \times r = 220$

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$\bf \implies \frac{44}{7} \times r = 220$

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$\bf \implies r = 220 \times \frac{7}{44}$

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$\bf \implies r = 35$

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Radius = 35cm

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$\bf\pink { L.S.A \: of \: cylinder = 2\pi rh}$

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$\bf = 2 \times \frac{22}{7} \times 35 \times 200$

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$\bf = 2 \times 22 \times 5 \times 200$

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$\bf = {44000cm}^{2}$

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Therefore, Lateral Surface area of cylinder = 44000cm^2.