A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6cm and height 3 cm. The number of bottles required to empty the bowl is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 18
Given that
A hemispherical bowl of internal diameter (D) = 18 cm
A cylindrical bottle of diameter (d) = 6 cm and height (h) = 3 cm
Formula used
Volume of a hemispherical bowl = (2/3)πR3 cubic units
where 'R' is the radius of the sphere.
Volume of a cylindrical bottle = πr2h,
where r is the radius of the circular base and h is the height of the cylinder
Let the number of bottles be N
Calculation
Volume of a hemispherical bowl = N × Volume of a cylindrical bottle
(2/3) × 22/7 × 93 = N × 22/7 × 32 × 3
N = 18