Q 4 4 The diameter of the circular base and the height of a right cylinder are - Maths - Surface Areas and Volumes

Question

Q 4

4 The diameter of the circular base and the height of a right
cylinder are equal The cylinder is filled with water to the brim
Four equal solid spherical balls are put into it The
diameter of each sphere is equal to the radius of the base of the
cylinder What percentage of water will flow out?

Lovina Kansal · Accepted Answer

Dear student
Diameter of cylinder=height of cylinder=x units (say)Radius of cylinder,r=x2unitsAlso, diameter of each ball=Radius of cylinder=x2 unitsSo, radius of each ball,R=x4unitsWater that flows out=Volume of cylinder-4×Volume of balls=πr2h-4×43πR3=πx22x-163πx43=πx34-πx312=πx36cubic unitsPercentage of water that flows out=πx36×100πx34=66
67%
Regards