Question
A spherical tank is filled with water. The radius of the sphere is 6 meters. The tank is used to fill cylindrical containers, each with a radius of 1 meter and a height of 12 meters. How many containers can be filled?
This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
24
The volume of the spherical tank with radius 6 m is \(V_{sphere} = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi (6)^3 = \frac{4}{3}\pi \times 216 = 288\pi\) cubic metres.
The volume of each cylindrical container with radius 1 m and height 12 m is \(V_{cylinder} = \pi r^2 h = \pi (1)^2 (12) = 12\pi\) cubic metres.
The number of containers that can be filled is \(\frac{V_{sphere}}{V_{cylinder}} = \frac{288\pi}{12\pi} = 24\).
Hence, the answer is 24.
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