How will the curved surface area of a cylinder change, when the radius is tripled and the height is reduced to one - third?
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In the cylinder radius is tripled and height is one third, curved surface area will be: same. doubled.
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Let radius of cylinder = r and height of cylinder be h.
So curved surface area of cylinder = 2 × pi × r × h
Case 1.
Radius of cylinder = 3r
Height of cylinder = h/3
So curved surface area of cylinder = 2 × pi × 3r × h/3
= 2 × pi × r × h
Meand Curved Surface Area remains same.
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