A hemispherical container of total surface area 7392 cm² is filled with oil. However, 1/4 of the container is empty. This oil is to be transferred in small hemispherical bottles having radius of 6.3 cm. How many bottles will be required (rounded off to the nearest whole number)? (Take π = 22/7)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 66.
3πr² = 7392 → r = 28 cm
Volume of container (hemisphere) = (2/3)π(28)³ = 45994.666... cm³
Oil filled = 3/4 of that = 34496 cm³
Volume of one small bottle = (2/3)π(6.3)³ ≈ 523.908 cm³
Number of bottles = 34496 ÷ 523.908 ≈ 65.83 ≈ 66