SOLUTION: ((Formulas involved are: Surface area=2nrh ; Volume=1/3lbh ; Surface area=4nr^2 and Volume=lbh 1). A storage tank in which a farmer stores grain. The tank is made up of

Question 988315: ((Formulas involved are: Surface area=2nrh ; Volume=1/3lbh ; Surface area=4nr^2 and Volume=lbh

1). A storage tank in which a farmer stores grain. The tank is made up of a right cylinder with a hemisphere on top.The perpendicular height of the tank to the top is 75m (meters) and the radius of the tank is 10m (meters).
a.) Calculate the exterior surface area of the tank?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The surface area of a cylinder topped by a hemisphere is the lateral surface area of the cylinder plus the surface area of the hemisphere.

The lateral surface area of a cylinder is given by

. For this problem, since the total height of the structure is 75 feet but the radius of the hemisphere is 10 feet, the height of the cylinder part is 75 feet minus the radius of the hemisphere.

The surface area of a sphere is given by

. A hemisphere is half of a sphere, so the surface area of a hemisphere has to be

.

Altogether then:

You have all of the numbers you need; just plug them in and do the arithmetic.

John

My calculator said it, I believe it, that settles it

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