Question:
Mayank made a bird bath for his garden in the shape of a cylinder with a hemispherical a dipression at one end . The height of the cylinder is 1.45 m and its radius is 30 cm. find the total surface area of the bird bath.
Answer:
Let r be the common radius of the cylinder and hemisphere and h be the height of the hollow cylinder.
Then r = 30 cm
h = 1.45 m = 145 cm
Total surface are of the bird-bath = curved surface area of the cylinder + curved surface area of the hemisphere
= 2πrh + 2πr2
= 2πr(h + r)
= 2 * 22/7 * 30(145 + 30)
= 33000 cm2
= 3.3 m2
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