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Ramesh made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45 m and its radius is 30 cm. - Mathematics

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प्रश्न

Ramesh made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression 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.

योग

उत्तर

Let h be height of the cylinder, and r the common radius of the cylinder and hemisphere.

Then, the total surface area of the bird-bath = CSA of cylinder + CSA of hemisphere

= 2πrh + 2πr2

= 2πr(h + r)

= `2 xx 22/7 xx 30(145 + 30)` cm2

= `2 xx 22/7 xx 30 xx 175` cm2

= 33000 cm2

= 3.3 m2

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