SOLUTION: A farm corn storage tower has two parts, a big cylinder and a semi-sphere on the top. the radius of the base and the semi-sphere is 10 feet, the total height of the tower is 70 fee

Algebra ->  Volume -> SOLUTION: A farm corn storage tower has two parts, a big cylinder and a semi-sphere on the top. the radius of the base and the semi-sphere is 10 feet, the total height of the tower is 70 fee      Log On


   

Question 1073902: A farm corn storage tower has two parts, a big cylinder and a semi-sphere on the top. the radius of the base and the semi-sphere is 10 feet, the total height of the tower is 70 feet. what is the surface area and the volume of the whole tower?
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Surface Area of Sphere
if r is radius,
4pi%2Ar%5E2

Surface Area for Cylinder (tube part only - no top or bottom)
if h is length and r is radius,
h%2A2%2Api%2Ar


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big cylinder and a semi-sphere on the top. the radius of the base and the semi-sphere is 10 feet, the total height of the tower is 70 feet. what is the surface area...
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Surface area of the described object:
highlight_green%2870%2A2%2Api%2A10%2B%284%2Api%2A10%5E2%29%2F2%29

The division by 2 used in the second added expression is because "semi-sphere" instead of a full sphere.

Simplify and compute the whole expression.

You can look for the formulas for the volumes and solve for the volume of the storage tower.