A famous basketball league team is planning to paint the entire basketball-shaped dummy whose radius is 7 m. A painter is hired who says that 5.4 liters of paint will be used to paint the area of 36 m2. How much paint (in liters) is required? (round off to one decimal place)
Take π =
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4, i.e., 92.4.
Radius of sphere = 7 m
Surface area of sphere = 4 × π × r2 = 4 × (22/7) × 72 = 4 × (22/7) × 49 = 4 × 22 × 7 = 616 m2
Paint required for 36 m2 = 5.4 liters
Paint required for 616 m2 = (616 × 5.4) ÷ 36 = 3326.4 ÷ 36 ≈ 92.4 liters