Question #a77c0

1 Answer
Jun 28, 2017

Volume of water overflow is #219.92cm^3#

Explanation:

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

Cone radius :#r=18#cm ; cone height: #h=70*3/4 =52.5#cm
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#