A cylindrical can whose base is horizontal and of radius 35 cm contains sufficient water so that whe...

Question

A cylindrical can whose base is horizontal and of radius 35 cm contains sufficient water so that when a sphere is placed in the can the water just covers the sphere Given that the sphere just fits into the can calculate the depth of the water in the can before the sphere was put into the can Given your answer as proper fractions

Accepted Answer

Solution Here to find the volume of the cylindrical can we need to add the volume of sphere to the volume of water present in the cylindrical can Let the depth of the water before the sphere was put be d Volume of cylindrical can volume of sphere volume of water rsup2suph 43 rsup3sup rsup2supd rsup2suph rsup2sup43r d h 43r d d h 43r d 7 4335 d 21143 d 73 Hence the depth of the water before the sphere was put into the can is 73 cm

ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration