A right circular cylindrical tank of radius 'R' meter and height 'R + 7' meter contains oil. The entire quantity of oil is taken out from the cylindrical tank and poured into 'N' number of hemispherical bowls such that each bowl is filled up to their maximum capacity. If the maximum capacity of each bowl is 11R3/42 m3. Which among the following (i, ii, iii and iv ) is/are the possible values of 'N'.
(R and N are positive integers).
i. 13
ii. 8
iii. 16
iv. 17
When we pour oil from cylindrical tank to hemispherical bowls, the volume remains constant. So, volume of cylindrical tank = volume of hemispherical bowls πR2 (R + 7) = N x 11R3/42 12R + 84 = NR N = 12 + 84/R From i: Take N = 13 13 = 12 + 84/R R = 84 i can be possible. From ii Take N = 8 8 = 12 + 84/R R = -21 ii cannot be possible. From iii Take N = 16 19 = 12 + 84/R R = 12 iii can be possible. From iv: Take R = 17 17 = 12 + 84/R R = 16.8 iv cannot be possible. So, only i and iii follows
From which of the following countries India has NOT borrowed features of the constitution?
Where is the Headquarters of the International Atomic Energy Agency (IAEA)?
Who is India's permanent representative to United Nations?
What is the length of the river Brahmaputra?
Select the false statement related to PM Kisan Samman Nidhi Yojana:
When is the United Nations’ World Cities Day observed?
Which of the following is the currency of japan?
In Monaco, which of the following organizations is being headquartered?
The government has notified the Production Linked Incentive (PLI) scheme for textiles, specifically aimed at boosting the production of MMF. Fi...
The Reserve Bank of India (RBI) has imposed a monetary penalty of _____ on the Hongkong and Shanghai Banking Corporation (HSBC) for violating the Credit...
