A cylinder has a diameter 20 cm and height 7 cm. Explain whether tripling the height would have the same effect on the surface area as tripling the radius or not.
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No, tripling the height would not have the same effect on the surface area sleeping the radius :
The surface Area of the cylinder is given by 2πr(r+h)
The Surface area = 2πx(10)x(7)= 439.8229715
[Given D=20; rad=10cm]
Tripling the height= 7x3 = 21 cm
Now the Surface Area = 2πx(10)x(21) = 1319.468915
As the The Surface area changes by tripling the height
Hence, it would not have the same effect on the cylinder.
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