water is filled in a right cylindrical tank with base radius 14 cm such that water level is 3 cm below the top when an iron ball is dropped in the tank 300 of water flows out find the radius of the ball
Answers
Given : radius = 14 cm
water level is 3 cm below the top
when iron ball dropped 300 cm3 water
Flowed out
To find : Radius of the ball
Solution :
1. The cylinder has radius 14 cm the water is 3 cm below the top
therefore , A new cylinder is formed with a radius of 14 cm and height 3 c.
1. Volume of new cylinder = πr2h
= 22 ÷ 7 × 14 × 14 × 3
= 1848 cm3
2. Volume of iron ball = volume of new cylinder +
water flowed out
= 1848 + 300
= 2148 cm3
3. Volume of ball = 4 ÷ 3 × π × r3
2148 = 4÷3 × 22÷7 ×r3
2148 × 3 × 7 ÷ 4 × 22 = r 3
r 3 = 512.5909
r = 8.009 Approximately