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Math Potpourri
100

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This is the volume of a cone that has a radius of 5 in. and a height of 12 in..

What is 314 in.3?

100

Round to the nearest tenth, include unit labels:

This is the volume of a cylinder whose radius is 4 feet and whose height is 3 feet.

What is 150.8 ft3?

100

Round to the nearest tenth, include unit labels:

This is the volume of a basketball with a radius of 5 inches.

What is 523.6 in3?

100

Round to the nearest hundredth, include unit labels:

Find the difference in volume of a cylinder and cone with a radius of 3 in. and a height of 5 in..

What is 94.25 in3?

100

42

What is 16?

200

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You get a snow cone. The paper cone has an opening of 2 inches in diameter and is 5 inches tall. 

 This is the approximate volume of sugar water your cone can hold if the snow cone melts.

What is 5.2 inches3?

200

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The volume of a cylinder whose radius is 4.8 inches and has a height of 14.7 inches.

What is 1064.02 cubic inches?

200

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This is the volume of a spherical ornament whose diameter is 8mm.

What is 268.08 mm3?

200

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Find the total sum of the volume of a cylinder and cone, both have a radius of 5 in. and a height of 7 in..

What is 733.04 in3?

200

Solve 4x-7=5

What is x=3?

300

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This is the volume of a cone whose height is 7.8mm and whose diameter is 6.4mm

What is 83.60 mm3?

300

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Emma Stone decides to start saving water by collecting rain in a barrel. 

She buys a barrel that's 2 ft. across and 3.5 ft. tall. 

This is the total volume of rain that Emma Stone can collect.

What is 11 ft.3?

300

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Selena Gomez is out for a hike when she stumbles upon an asteroid that is perfectly spherical and is 37 ft. in diameter. 

This is the volume of Selena Gomez's asteroid.

What is 26521.85 feet3?

300

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Marie Calendar is making a two tier birthday cake.

The bottom layer has a diameter of 12 in. and the top layer has a diameter of 8 in.. 

They both have a height of 6 in.. 

This is the total volume of the cake.

What is 980.18 in3?

300

487/5

What is 97.4?

400

You visit two ice cream shops, and both have delicious waffle cones. Shop A's cones are 3 inches in diameter and 8 in. tall. Shop B's cones are 2.5 inches in diameter and 9 in. tall. 

This is the shop whose cone can hold the most ice cream out of the two shops.

What is shop A?

400

Disney has built a new cylindrical office building. The building is 400 feet tall and 200 feet across.

HVAC companies typically charge $0.05 per cubic foot of inside space for installation of HVAC equipment. 

This is how much money will it cost Disney to install HVAC in the building, to the nearest cent.

What is $628,318.53

400

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This is the radius of a sphere whose volume is 523.6 ft3.

What is 5 ft.?

400

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Bob the builder built a cylindrical house with a diameter of 15 ft. and a height of 24 ft.. 

The cone roof has the same diameter and a height of 12 ft. 

This is the total volume of the house.

What is 4948.01 feet3?

400

3/4x+3=21

What is 24?

500

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Walmart sells snow cones with a volume of 27.2pi inches3 and a height of 5.1 inches.

 This is the radius of the Walmart snow cones.

What is 2.26 in.?

500

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Bruce Wayne discovers a cylindrical well about 5 feet across. Bruce is not sure how deep it is, so he decides to get a hose and fill it up. The hose can deliver 100 cubic feet of water every hour. 

This is how many vertical feet the hose would fill in one hour.

What is a height of 5.1ft?

500

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This is the diameter of a sphere whose volume is 904.79 ft cubed.

What is 12 ft.?

500

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Ellen is trying to store basketballs that have a radius of 4.7 in.. 

The cylindrical container she is using has a radius of 5 in. and a height of 18 in.. Ellen fits 3 basketballs into the container. 

This is how many cubic inches of space are left.

What is 109.04 inches3?

500

−16 +5n=−7(−6+8n)+3

What is 1?