if a radius of a cylinder is r and height is h how will the vol. change if the height is doubled
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Step-by-step explanation:
If the radius of a cylinder is doubled and height is halved, the volume will be doubled. If the radius of a cylinder is doubled and height is halved, the volume will be doubled.
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- Doubled volume will be become π*r^2*2h,that is volume will also be doubled
- Then the volume becomes π*r^2/2*2h=πr^2 h. Volume remains same.
- Then volume becomes, πr^2/2*h. that is ,volume becomes half .
Here r = r / 2, h = 2h
∴ Volume of cylinder = π(r / 2)² 2h = 1 / 2 πr²h
Original volume of cylinder = πr²h
Volume w.r.t. original volume of cylinder
= (1 / 2) πr²h / πr²h = 1 / 2.
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