SOLUTION: A water tank consisting of a cylinder and two hemisphere length of cylinder is 20cm and diameter 14 cm.find the volume of water when tank is half full

Algebra ->  Volume -> SOLUTION: A water tank consisting of a cylinder and two hemisphere length of cylinder is 20cm and diameter 14 cm.find the volume of water when tank is half full       Log On


   

Question 1001743: A water tank consisting of a cylinder and two hemisphere length of cylinder is 20cm and diameter 14 cm.find the volume of water when tank is half full
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, half the volume of the tank is (1/2)V. The radius is 7 cm (half of 14).
But V(total) = V(cylinder) + V(sphere) (since two hemispheres make a full sphere)
V(cyl) = (pi)r^2*L = (pi)(49)(20) = 980 pi
V(sph) = (4/3)(pi)(r^3) = (4/3)(pi)(343) = 1372/3 (pi)
V(tot) = (980 + 1372/3)(pi)
(1/2)V = (490 + 686/3)(pi) cubic cm