Mayank made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression The height of the cylinder is 1.45 m and its radius is 30 cm. Find the total surface area of the bird-bath. (Take π = 22/7)
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Answer:
the total surface area of the figure is 33000cm².
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Answer:
Question:
Mayank made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression The height of the cylinder is 1.45 m and its radius is 30 cm. Find the total surface area of the bird-bath. (Take π = 22/7)
Solution:
Let h be the height of the cylinder
and r be the common radius of the cylinder and hemisphere.
Then,
the total surface area of the bird-bath = CSA of cylinder + CSA of the hemisphere
= 2πrh + 2πr^2
= 2π r(h + r)
= 2 (22/7) × 30 × (145 + 30) cm^2
= 33000 cm^2
= 3.3 m^2
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