A cylinder having height and diameter 14 cm, is filled with water up t

1.	A cylinder having height and diameter 14 cm, is filled with water up tothe brim. Four equal solid spheres are placed into it. The diameter ofeach sphere is equal to the radius of the base of the cylinder. Whatfraction of water overflows?
Answer» Volume of cylinder= pirrh = 22/77714= 22714 = 2156 cm^3 Volume of one sphere= 4/3pirrr= 4/322/77/27/27/2= 1/3117*7 Volume of 4 spheres= 2156/3 cm^3 Thus, fraction of water overflow is 1/3 of volume of cylinder

A cylinder having height and diameter 14 cm, is filled with water up tothe brim. Four equal solid spheres are placed into it. The diameter ofeach sphere is equal to the radius of the base of the cylinder. Whatfraction of water overflows?

Answer»

Volume of cylinder= pi*r*r*h = 22/7*7*7*14= 22*7*14 = 2156 cm^3

Volume of one sphere= 4/3*pi*r*r*r= 4/3*22/7*7/2*7/2*7/2= 1/3*11*7*7

Volume of 4 spheres= 2156/3 cm^3

Thus, fraction of water overflow is 1/3 of volume of cylinder