if base radius and height of a cylinder are increased by 100% then its volume increased by
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let radii be x. { here my # represents pi}
and volume be y
volume = #x^2y. eq 1
if both radii and height increased 100% than
new radii = 2x
new height = 2y
new volume = #4x^ * 2y
=#8x^2y. eq 2
comparing 1 and 2
we observe that volume has been by 8 times
volume increased %. =#8x^2y/#x^2y * 100
=800 %
hence volume increased by 800%
and volume be y
volume = #x^2y. eq 1
if both radii and height increased 100% than
new radii = 2x
new height = 2y
new volume = #4x^ * 2y
=#8x^2y. eq 2
comparing 1 and 2
we observe that volume has been by 8 times
volume increased %. =#8x^2y/#x^2y * 100
=800 %
hence volume increased by 800%
anurag0804rathore:
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