SOLUTION: A storage tank is in the form of cylinder with one hemispherical end, the other being flat. The diameter of the cylinder is 4 m and the overall height of the tank is 9 m. What is t

Algebra ->  Volume -> SOLUTION: A storage tank is in the form of cylinder with one hemispherical end, the other being flat. The diameter of the cylinder is 4 m and the overall height of the tank is 9 m. What is t      Log On


   



Question 738234: A storage tank is in the form of cylinder with one hemispherical end, the other being flat. The diameter of the cylinder is 4 m and the overall height of the tank is 9 m. What is the capacity of the tank?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Diameter = 4 m
radius = 2m
height of tank = height of cylinder + radius of hemisphere
9 = h c + 2
9-2=Hc
Hc = 7 m
Volume of tank = volume of cylinder + volume of hemisphere
Volume of tank = pir^2h + 2/3 * pi r^3
=22/7 * 2^2 * 7 + 2/3 * 22/7 * 2^3

= 22/7 *4 *7 +2/3 *22/7 * 8

= 88 + 352/21
Use a calc