A spherical tank is filled with water. The radius of the sphere is 6 meters.
A spherical tank is filled with water. The radius of the sphere is 6 meters. The tank is used to fill cylindrical, each with a radius of 1 meter and a height of 12 meters. How many containers can be filled?
एक गोलाकार टैंक पानी से भरा हुआ है। इस गोले का त्रिज्या 6 मीटर है। इस टैंक के पानी का उपयोग बेलनाकार कंटेनरों को भरने के लिए किया जाता है, जिनमें से प्रत्येक का त्रिज्या 1 मीटर और ऊँचाई 12 मीटर है। कितने कंटेनर भरे जा सकते हैं?
Detailed Solution & Logic
24
Given:
Radius of sphere = 6 m
Radius of cylinder = 1 m, Height = 12 m
Volume of spherical tank
$V = \frac{4}{3}\pi (6)^3 = 288\pi$
Volume of one cylindrical container
$V = \pi (1)^2 (12) = 12\pi$
Number of containers
$= \frac{288\pi}{12\pi} = 24$
Final Answer: 24 containers
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