Question

the lateral surface area of a cylinder of length 14m is 220m squre .find the volume of the cylinder.
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Answer 1

Given :

• Length of cylinder = 14m
• Lateral surface area of cylinder (LSA) = 220 m²

To find :

Volume of cylinder

Formula used :

• Lateral surface area of cylinder = 2πrh
• Volume of cylinder = πr²h

Procedure :

• First of all, we need to find Radius of cylinder from given LSA
• Then we will find volume

Solution :

We know that, LSA = 2πrh

$\sf \implies \: 220 = 2 \times \pi \times r \times 14 \\ \\ \sf \implies \: r \: = \: \dfrac{220}{2\pi \times 14} \\ \\ \sf \implies \: r \: = \dfrac{220}{2 \times 14} \times \dfrac{7}{22} \\ \\ \sf \implies \: r \: = \: 2.5 \: m$

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Also , we know that Volume = πr²h

$\sf \implies \: Volume \: = \: \dfrac{22}{7} \times {(2.5)}^{2} \times 14 \\ \\ \sf \implies \: Volume \: = \: \bold{275 \: {m}^{2}}$

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ANSWER :

Volume of cylinder = 275 m²