Question

If radius of cylinder is tripled and height remains same

(i) how many times will its surface area increase?

(ii) how many times will its volume increase?​

Answer 1

Answer:

1.The surface area will become 4 times ie increase by 3 times if both radius and height of the cylinder are doubled.

2.The surface area will become 3 times ie increase by 2 times if radius and height are equal and only radius is doubled.

3.The surface area will become ie increase to 2(1+r/(r+h)) times if radius is doubled and height remains unchanged.

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Answer 2

Answer

The answer to this question is straightforward. The radius of the cylinder is triple 3r in height and 9 times in volume.

Explanation

(i) Let the height of the cylinder be h and the radius of its base be r.

Therefore, curved surface area of cylinder 2πrh

Now, the radius is tripled. So, the new radius r

 is =3r

New curved surface area =2πrh

=2π×3r×h

=2×3πrh

=3(Curved surface area of old cylinder)

Hence, the curved surface area of a new cylinder is tripled after tripling the radius.

(ii) If r be the radius and h be the height, then volume = πr²h

If the radius is tripled and the height remains the same,

the volume will be

= π(3r)²h = π×9r²h

= 9πr²h

=9×Volume

The volume is 9 times more than the original volume.

To learn more about cylinder, find the given link.

https://brainly.in/question/1776554

To learn more about volume, find the given link.

https://brainly.in/question/17575802

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