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Mayank made a bird bath for …

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Mayank 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 1.45m and its radius is 30cm .find the total surface area of the bird bath.

Posted by Navi Olizz 4 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 9 months ago

{tex}{/tex}Let r be the common radius of the cylinder and hemisphere and h be the height of the hollow cylinder. Then, r = 30 cm and h = 1.45 m = 145 cm. Let S be the total surface area of the bird-bath. Then,
S = Curved surface area of the cylinder + Curved surface area of the hemisphere
{tex}\Rightarrow \quad S = 2 \pi r h + 2 \pi r ^ { 2 } = 2 \pi r ( h + r ){/tex}

{tex}\Rightarrow \quad S = 2 \times \frac { 22 } { 7 } \times 30 ( 145 + 30 ) \mathrm { cm } ^ { 2 } = 33000 \mathrm { cm } ^ { 2 } = 3.3 \mathrm { m } ^ { 2 }{/tex}

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