A wooden toy is made by scooping out a hemisphere of same radius as of cylinder, from each end of a wooden solid cylinder. If the height of the cylinder is 20 cm and its base is of radius 7 cm , find the total surface area of the toy.
Explanation
The total surface area of the toy is the sum of the surface areas of the two hemispheres and the curved surface area of the cylinder. The surface area of a hemisphere with radius r is 2πr^2, and the surface area of the curved part of the cylinder is 2πrh. The total surface area is 2(2πr^2) + 2πr(h + r) = 4πr^2 + 2πrh + 2πr^2 = 2πr^2 + 2πr(h + r).
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