Question

DATE
6 The volume of cylinder is
448cm^3 and
height 7cm. Then its lateral surface
surface area
(a) 352cm? (6) 259 cm2
(6) None of these
(d) 252cm​

Answer 1

Answer: 352 $cm^{2}$

Given :

Volume of the cylinder is 448π cm³,

height of the cylinder is 7 cm.

Let the radius be r cm.

We know that,

Volume of cylinder = πr²h

=> 448π = πr²h

=> $\frac{448\pi}{\pi}$ = r² × 7

=> 448 = r² × 7

=> $\frac{448}{7}$ = r²

=> 64 = r²

=> $\sqrt{64}$ = r

=> 8 = r

Therefore, the radius of the cylinder is 8 cm.

To Find: Lateral surface area and total surface area of the cylinder.

= 2πrh

= 2 × $\frac{22}{7}$ × 8 × 7

= 352 cm²

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