Question

the ratio of height and radius of a cylinder is 4:3.its volume is equal to the volume of a sphere which has radius of 6cm.what is the surface area of the cylinder?​

Answer 1

Answer:

Answer : Ratio of curved surface of cylinder to the surface area of the sphere is 2/3.

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.

JAI SHREE KRISHNA