Calculate the cost to paint a water tank in the shape of a sphere having a radius of 7 cm, if the cost of painting is Rs.4.5/cm2 . (π = 22/7)

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SSC GD Constable (2022) Official Paper (Held On : 16 Jan 2023 Shift 3)
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  1. Rs. 2,272
  2. Rs. 2,277
  3. Rs. 2,727
  4. Rs. 2,772

Answer (Detailed Solution Below)

Option 4 : Rs. 2,772
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Detailed Solution

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Given data:

Radius of the sphere (tank): 7 cm

Cost of painting per cm²: Rs.4.5

Pi = 22/7

Concept: The formula for the surface area of a sphere is 4πr². Multiply this by the cost per cm² to get the total cost.

⇒ Surface area = 4 x 22/7 x 72 cm2 = 616 cm2

⇒ Total cost = 616 cm2 x Rs.4.5 = Rs.2772

Therefore, the cost to paint the water tank is Rs. 2772.

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