if radius of a cylinder r is doubles then its volume is also doubles
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No its false.........
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Yes, but you should intuitively know that it will change.
How it will change is a bit more interesting. Starting with the formula for surface area of a cylinder,
SA=πrh+2πr
2SA=πrh+2πr2
Doubling the height replaces h with 2h:
SA2h=2πrh+2πr
2SA2h=2πrh+2πr2
Doubling the radius replaces r with 2r:
SA2r=2πrh+8πr
2SA2r=2πrh+8πr2
Thus, how much the change affects the surface area depends on the relative initial measurements of r and h.
How it will change is a bit more interesting. Starting with the formula for surface area of a cylinder,
SA=πrh+2πr
2SA=πrh+2πr2
Doubling the height replaces h with 2h:
SA2h=2πrh+2πr
2SA2h=2πrh+2πr2
Doubling the radius replaces r with 2r:
SA2r=2πrh+8πr
2SA2r=2πrh+8πr2
Thus, how much the change affects the surface area depends on the relative initial measurements of r and h.
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