We have to solve for sections of the tank and then add the sections together. In this case it is easiest to think of the cylinder in 3 sections:Originally Posted by Steves5a
The half sphere at one end of the tank.
The cylinder in the middle of the tank
The half sphere at the other end of the tank.
since we have two half spheres we can further simplify the problem into only two sections:
1 full sphere + 1 cylinder
So we must solve the volume for a sphere with diameter 40cm and a cylinder with diameter 40cm and 100cm length.
Looking in your math book you will find the equation for the volume of a cylinder is:
and the equation for the volume of a sphere is
Further more radius = 1/2 * diameter.
You should now have enough information to solve this problem. Simply plug in values for pi and r and L and add the two volumes together.