Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bowl's inner radius is 6 cm. Find the bowl's outside curved surface area (take \(\pi = \frac{22}{7}\)).

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 1)
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  1. 532 cm2
  2. 255.0548 cm2
  3. 484 cm2
  4. 523.4107 cm2

Answer (Detailed Solution Below)

Option 2 : 255.0548 cm2
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Detailed Solution

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Given::

Inner radius = 6 cm

Thickness = 0.37 cm

Formula used:

Outer radius = Inner radius + Thickness

Curved surface area of the hemisphere = \(2\pi r^2\)

Calculations:

According to the formula,

⇒ Outer radius = 6  + 0.37 = 6.37 cm

⇒ Curved surface area = \(2 \times \frac{22}{7} \times 6.37 \times 6.37 \) = 255.0548 cm2

⇒ Hence, Curved surface area of the hemisphere is 255.0548 cm2

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