Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?
In volume of a cylinder, the radius is multiplied by squaring it. ∴ Volume of cylinder B will be more than that of A. Volume of cylinder A Radius (r) = Height (h) = 14 cm ∴ Volume of a cylinder A =
Volume of cylinder B Radius (r) = Height (h) = 7 cm ∴ Volume of the cylinder
Thus, cylinder B has greater volume. Now, Surface area of cylinder A = =
Surface area of cylinder B =
Thus, the cylinder of greater capacity has greater (more) surface area.