Cylinder Word Problems

A cylindrical sign has been made for a local business. The faces of the sign will be made with translucent plastic, while the area connecting the two faces (the depth of the sign) will be made of black metal.The diameter of the circular face of the sign is 8.5 feet and the depth of the sign is 2 feet. Determine the lateral surface area of the sign, in square inches.

• 105.81

• 53.41

• 52.41

• 106.81

There are two cylinders. The first is of radius 7 and height 4 and the second is of radius 6 and height 7. Which cylinder has the larger total surface area?

• The first cylinder

• The second cylinder

A test tube with a cap on it is in the shape of a cylinder. The height of the test tube is 20 cm and the radius of the test tube is 5 cm. The scientist needs to ship the test tube after it has been packaged in a plastic wrapping. How much wrapping will be needed to cover the entire test tube plus the cap? (total surface area)

• 353.42

• 471.23

• 628.31

• 785.39

Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.  How many cubic inches of soda are contained in a full can?

• 12.0

• 24.0

• 75.4

• 18.8

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A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³

• 141.3 ft³

• 88.3 ft³

• 70.7 ft³

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A cylindrical silo that stores grain has a diameter of 16 feet and is 40 feet tall. How many cubic feet of grain will fit inside the silo? Round to the nearest tenth. Use 3.14 for π.

• 1004.8 ft³

• 2009.6 ft³

• 8038 ft³

• 8038.4 ft³

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Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
Which equation can be used to find the volume of the container?

• V = π(9)

• V = π(4.5)²(32)

• V = π(9)²(32)

• V = π(4.5)(32)

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Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?

• 7,389 cm³

• 6,333 cm³

• 3,167 cm³

• 1,847 cm³

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CCSS.8.G.C.9

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A deflated basketball needs to be filled for air. Calculate how much air must be pumped into a basketball with a diameter of 9.5 inches.

• 1,346.1 cubic inches

• 667.8 cubic inches

• 897.3 cubic inches

• 448.7 cubic inches

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CCSS.8.G.C.9

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You want to figure out how much cherry coke is inside a can of Coca-Cola.  The radius is 2 inches and the 3-D height is 6 inches.  How much cherry coke fits inside the can?

• 68.56 cubic inches

• 75.36 cubic inches

• 83.76 cubic inches

• 94.7 cubic inches

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