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Is- 9. A right circular cylinder and a sphere have the same volume and same radius. The ratioof the areas of their curved surfaces isIf the radius of a sphere is doubled, then the percentage increase in the surface areaCLS​

Answer»

Step-by-step explanation:

Volume of sphere = (4/3)(pi)*R^3.

Volume of cylinder= (pi)*r^2*H.

The volumes of both solids being equal

(4/3)(pi)*r^3 = (pi)*r^2*h, or

(4/3)*r = h.

Surface AREA of sphere = 4(pi)r^2 = (pi)[4r^2] …(1)

CURVED surface area of cylinder= 2(pi)rh

= (pi)2r(4/3)r …(2)

Ratio of curved surface of cylinder to the surface area of the sphere = (pi)2r(4/3)r / (pi)[4r^2] = (8/3)/4 = 2/3.


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