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The radius of the cylinder whose lateral surface area is $704 {cm}^{2}$ and height $8$ cm is

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6

4

8

14

answer is D.

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Detailed Solution

Given that a cylinder has lateral surface area as

704 {cm}^{2}

and height

8

cm.
We have to find the radius of the cylinder.
We know curved surface area =

2 πrh

Curved surface area of a cylinder of radius

R

and height

h

= 2 πRh

Curved surface area of the given cylinder

= 704

{cm}^{2}

\Rightarrow 2 πrh

= 704

\Rightarrow 2 \times \frac{22}{7} \times r \times 8 = 704

\Rightarrow r = \frac{704 \times 7}{22 \times 2 \times 8}

\Rightarrow r = 14 cm

Therefore,

r = 14

cm
The base of the cylinder has a 14 cm radius.
Hence, option 4 is correct.

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