5/21/2021-Graded Solids Review

Last updated over 4 years ago
18 questions
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Given the circle, what is the area of the shaded sector? (round to the tenths place)

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The radius of the circle is 16 meters.
If the arc measure of DE is
Find the LENGTH of arc DE. (round your answer to the nearest tenths place)

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Find the area of:

A circle with diameter of 10cm. (find the radius first!)

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What is the volume in cubic feet of a refrigerator whose interior is 6 feet tall, 2 feet wide, and 2.5 feet deep?

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The cargo space of the truck is 2.44 meters wide, 2.76 meters high, and 8.20 meters long. How many square meters of aluminum was used to create the cargo space?
I do not like the wording of this question...but it's asking you effectively what is the surface area of the cargo.

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What is the approximate volume of a can that is 6 inches tall and has a 2.5 inch diameter?

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Find the edge length of the cube...sub V=64 into:
to find x (the length of one edge)

Then sub the length of the edge into the SA formula:

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A cylindrical water container is 1.5 meters high and has a diameter of 4.8 meters. Approximately how many cubic meters of water will the container hold when it is half full?

REMEMBER: this is saying 1/2 full here!!!

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What is the volume of a right square pyramid with a height of 6 centimeters and a base that measures 8 centimeters by 8 centimeters?

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A tepee in the shape of a right cone has a slant height of 16 feet and a diameter of 24 feet. Approximately how many square feet of canvas would be needed to cover the tepee? (lateral area).

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The Great Pyramid of Cholula has a square base with sides of length 450 meters and a height of 66 meters. Approximately what is the volume of the Great Pyramid?

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What is the volume of a cylindrical water heater 2.4 feet in diameter and 3 feet tall?

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A spherical paintball measures 2 centimeters in diameter. Approximately how much paint is in it?

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BONUS: The ratio between the volumes of two spheres is 27 to 8.  What is the ratio between their respective radii?
*Hint, the radii are cubed in the volume of a sphere formula. How do we undo a cubed number? Do this to both 27 and 8.

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BONUS:

Hint: (1) Find the volume of the cube (use the diameter of the ball for the edge lengths). (2) Find the volume of the sphere. (3) Subtract the volume of the sphere from the volume of the cube.

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BONUS:

hint: (1) Find the volume of the water before they drop in the rock. (2) Find the new volume of the water (which will increase you h value by 0.4) (3) Subtract the original volume from the new volume.