Question

The circumference of the base of a
cylinder is 180 cm and its height is 30 cm. Find its
curved surface area.
​

Answer 1

5400cm²

Step-by-step explanation:

curved surface area of cylinder = 2×22/7×r×h

= cicumferenceof the base × height

= 180cm × 30cm

=5400cm²

Answer 2

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The circumference of the base of a

cylinder is 180 cm and its height is 30 cm. Find its curved surface area.

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➡C.S.A of cylinder is 5400cm².

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• Circumference of base of cylinder is 180cm
• Height of Cylinder = 30cm

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• C.S.A of cylinder

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Circumference of base =

$\bf \pink{2\pi r}$

C.S.A of cylinder =

$\bf \pink{2\pi rh}$

$\bf {\underline {\underline{✤ SƠԼƲƬƖƠƝ}}}$

$\bf Circumference \: of \: base = 2\pi r$

$\bf \implies 180 = 2\pi r$

$\bf \implies 180 = 2 \times \frac{22}{7} \times r$

$\bf \implies 180 = \frac{44}{7} \times r$

$\bf \implies r = 180 \times \frac{ 7}{44}$

$\bf \implies r = \frac{1260}{44}$

$\bf C.S.A \: of \: cylinder = 2\pi rh$

$\bf \implies 2 \times \frac{22}{7} \times \frac{1260}{44} \times 30$

$\bf \implies 2 \times \frac{1}{7} \times \frac{1260}{2} \times 30$

$\bf \implies {\cancel {2} }\times \frac{180} {\cancel{2} } \times 30$

$\bf \implies 180 \times 30$

$\bf \implies 5400 {cm}^{2}$

Therefore, C.S.A of cylinder is 5400cm².

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