Question

Mayank made a bird bath for his garden in the shape of a cylinder with hemispherical depression at one and the height of the cylinder is 1.45 and its radius is 30 cm find the total surface area of the bird bath.
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Answer 1

Answer:

Total surface area of the bird bath = 33000 cm²= 3.3m²

Step-by-step explanation:

Given:

• Height of the cylinder = 1.45m
• Radius of the cylinder = 30cm

Need to find:

• Total surface area of the bird bath

Explanation:

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

As we know that,

Total surface area of the bird bath = CSA of cylinder + CSA of hemisphere

=> 2πrh + 2πr² =2πr(h+r)

=> 2×22/7×30(145+40) cm²

=> 33000 cm² = 3.3m²

Hence, curved surface area of the bird bath is 3.3m².

Answer 2

Solution:

Let h be the height of the cylinder

r be the common radius of the cylinder.

Then,

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

= 2πrh + 2πr²

= 2π r(h + r)

= 2 (22/7) × 30 × (145 + 30) cm²

= 33000 cm² => 3.3 m²