Question

if perimeter of the base of cylinder is 44 cm and its height is 10 centimetre then its csa is a) 880 cm square b) 20 cm square c) 40 cm square d)110cm square​

Answer 1

The CSA of the cylinder is → option (A): 440 cm²

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Correct Question:

The perimeter of the base of a right circular cylinder is 44 cm. And the height of the cylinder is 10 cm. then its curved surface area is

A) 440 cm² B) 44 cm² C) 880 cm² D) 88 cm²

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Let's understand a few concepts:

To solve the given problem we will use the following formulas:

• $\boxed{\bold{Circumference\: of \:circle = 2\pi r}}$

• $\boxed{\bold{Curved\:surface\:area\: of \:cylinder = 2\pi rh}}$

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Let's solve the given problem:

The perimeter of the base of the cylinder = 44 cm

Considering the base of the cylinder as circular, we have

Circumference of the circular base of the cylinder = Perimeter of the base

$\implies 2\pi r = 44$

$\implies 2\times \frac{22}{7} \times r = 44$

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

$\implies \frac{1}{7} \times r = 1$

$\implies r = 7\:cm$

The height of the cylinder (h) = 10 cm

Therefore,

The curved surface area of the cylinder is,

$= 2\pi rh\\= 2 \times \frac{22}{7} \times 7 \times 10\\= 2 \times 22 \times 10\\= 44 \times 10\\= \bold{440\:cm^2}$

Thus, the CSA of the cylinder is → option (A): 440 cm².

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Answer 2

Answer:

Curved surface area of a cylinder is 440 sq.cm.

Step-by-step explanation:

Given :

PERIMETER of a cylinder $=2 \pi \mathrm{r}=44 \mathrm{~cm}$

Height {h})=10cm

Lateral surface area of a cylinder $=2 \pi r h = circumference of the base \times height of thecylinder$

$=44 \times 10=440 \mathrm{~cm}^{2}$

Lateral surface area of a cylinder is 440 sq.cm.