If base radius and height of a cylinder are increased by 100% then its volume increased by:
(a) 30% (b) 40% (c) 42% (d) 33.1%
pls answer correctly
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If base radius and height of a cylinder are increased by 100% then its volume increased by:
(a) 30% (b) 40% (c) 42% (d) 33.1%
pls answer correctly
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Answer:
If radius is increased by 100% then the new radius will be 2r because 100% of r = r only so similarly the new height also becomes 2h
V=πr²h....... formula for volume of cylinder
v=π(2r)²2h........ substitute new values
v=π(4r²)2h
v=8πr²h
v=8(πr²h)
Here πr²h is the old volume when no value is increased
Therefore the volume of the cylinder increase by a factor of 8 when the radius and height are increased by 100%.
Then after converting into percentage we get 33.1
Then the volume increases by 33.1%
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