Sum

If the lateral surface of a cylinder is 94.2 cm^{2} and its height is 5 cm, find:

(i) radius of its base

(ii) volume of the cylinder

[Use ` pi` = 3.14]

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#### Solution

Given data is as follows:

Lateral Surface Area = 94.2 cm^{2}

*h* = 5cm

We have to find:

(i) Radius of the base

(ii) Volume of the cylinder

(i) We know that,

Lateral Surface Area = `2 pi rh`

That is,

2*πrh* = 94.2

`2 xx3.14 xx r xx 5`=94.2

31.4r =94.2

r = 3 cm

(ii) Volume of a cylinder = `pi r^2h`

=`3.14 xx 3xx3xx5`

Volume of the cylinder = 141.cm^{3}

Concept: Surface Area of Cylinder

Is there an error in this question or solution?

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