Question #a77c0

1 Answer
Jun 28, 2017

Volume of water overflow is 219.92cm^3

Explanation:

Cylinder radius :r_c=40/2=20cm ; Cylinder height: h_c=70cm
Volume of cylinder : V_c= pi*r_c^2*h_c= pi*20^2*70 ~~87964.59 cm^3

Water cylinder radius :r_w=40/2=20cm ; water cylinder height: h_w=70*4/5=56cm
Volume of water : V_w= pi*r_w^2*h_w= pi*20^2*56 ~~70371.68 cm^3

Cone radius :r=18cm ; cone height: h=70*3/4 =52.5cm
Volume of cone : V= 1/3*pi*r^2*h= 1/3*pi*18^2*52.5 ~~17812.83 cm^3

Volume of water overflow V-(V_c -V_w) = 17812.83-(87964.59-70371.68) = 17812.83-17592.91= 219.92cm^3