Question

The CSA of a cylinder of height is 14cm is 88 sq cm. find the volume of cylinder​

Answer 1

Answer:

Height (h) = 14 cm

Curved surface area (2πrh) = 88 cm2

Then, 2πrh = 88 cm2

⇒ 2 × 22/7 × r × 14 = 88 cm2

⇒ 88r = 88

⇒ r = 88/88 = 1 cm

volume of cylinder = πr^2h

=22/7× 1×1×14

=44cm^3

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Answer 2

Given :

• CSA of cylinder = 88 cm²
• Height of cylinder = 14cm

To find : Volume of cylinder

Formula used :

• CSA of cylinder = 2πrh
• Volume of cylinder = πr²h

Solution :

CSA = 2πrh

=> 88 = 2× π × r × (14)

$\sf \: 88 = 2 \times \frac{22}{7} \times 14 \times r \\ \\ \sf \: 88 = 44 \times \frac{14}{7} \times r \\ \\ \sf \: 88 = 44 \times 2 \times r \\ \\ \sf \: r \: = \dfrac{88}{88} = 1$

Volume = π (r²)h

$\sf \: Volume \: = \dfrac{22}{7} \times ( {1}^{2} ) \times 14 \\ \\ \sf \: Volume \: = 22 \times \frac{14}{7} \\ \\ \sf \: Volume \: = 22 \times 2 \: = 44 {cm}^{3}$

ANSWER : Volume = 44 cm³