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Geometry (5 problems)


The following math problems could be found for the requested category. If you want to find a specific problem, please use the search box on the left menu

Problem #1: Area of a Polygon

Find the area of the trapezoid in the figure below:

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Problem #2: Calculation of Volumes

Find the volume of a cylinder whose radius is 7 inches and height is 10 inches. Express your answer in terms of (pi).

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Problem #3: Calculation of Volumes

How much larger is the volume of a sphere compared to the volume of a cone with the same radius? The height of the cone is equal to 2 times the diameter of the sphere.

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Problem #4: Calculation of Volumes
A large petroleum storage facility has a capacity of 285,000 cubic feet. Express this capacity in gallons given that there are 7.481 gallons per cubic feet.
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Problem #5: Perimeter of Polygon

Solve the following application problem. Show all work to receive full credit.

A. A man at ground level measures the angle of elevation to the top of a building to be *. If, at this point, he is 15 feet from the building, what is the height of the building?

Draw a picture, show all work, and find the solution. Round to the nearest hundredths.

B. The same man now stands atop a building. He measures the angle of elevation to the building across the street to be and the angle of depression (to the base of the building) to be. If the two buildings are 50 feet apart, how tall is the taller building? See the following figure. Round to the nearest hundredths.


50 ft


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