a pool has a uniform circular cross section of radius 5 m and deth 1.4 m. it is filled by a ppe which deiver water at the rate of 20 l per sec. calculate in minutes the tie taken to fill the pool. If the pool is emptied in 42 min by another cylindercal pipe through which water flows in 2m per sec. calculate the radius of the pipe in cm

Asked by skesh | 2nd Jan, 2020, 07:55: AM

Expert Answer:

Volume space of space cylinder space tank space equals πr squared straight h space equals space 22 over 7 cross times 25 cross times 1.4 equals 110 space straight m cubed
110 space straight m cubed space equals space 110000 space liters
20 space liter space per space sec space
110000 space liters space equals space 5500 space sec space equals space 91.67 space mins
Pool space emptied space in space 42 space mins space equals space 2520 space secs

Pipe
in space 1 space sec
straight l equals 2 straight m space equals space straight h
volume space per space sec equals πr squared straight h space equals 22 over 7 cross times straight r squared cross times 2
110 space straight m cubed space equals space 2520 space secs cross times open parentheses 22 over 7 cross times straight r squared cross times 2 close parentheses straight m cubed divided by sec
straight r equals 0.83 space straight m space equals space 8.33 space cm
 

Answered by Arun | 7th Jan, 2020, 10:42: AM