Geometry Volume and Scale Factor

A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth?

• 4.4 cm

• 60.0 cm

• 19.1 cm

• 8.8 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain?

• 1.2 ounces

• 4.8 ounces

• 19.2 ounces

• 76.8 ounces

Tags

CCSS.7.G.A.1

A company wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1.2-ounce box. It must contain 18.75 ounces of cereal. What scale factor does the company need to use for the family size box?

• 1

• 15.625

• 2.5

• 3.95

Tags

CCSS.7.G.A.1

• 3

• 4

• 16

Tags

CCSS.7.G.B.6

An aquarium holds 42 cubic feet of water.  What could be the dimensions of the aquarium?

• 2 x 3 x 7

• 2 x 3 x 6

• 2 x 3 x 5

• 2 x 3 x 4

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.

What is the volume of the can of orange juice in cubic centimeters?

• 176

• 3120

• 8000

• 62,400

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The cylindrical container of salt has a diameter of 8 centimeters and a height of 14 centimeters. Which measurement is closest to the volume of the container?

• 352 cubic centimeters

• 703 subic centimeters

• 1105 cubic centimeters

• 2813 cubic centimeters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A grain silo with the shape of a right cylinder is to be filled with corn. The diameter of the silo is 14 feet and the height is 30 feet. Excluding the domed top, approximately how many cubic feet of corn will the silo hold? Use 3.14 for π.

• 1,318.8

• 1,472.7

• 4,615.8

• 18,463.2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder was removed from the inside of another cylinder to form the solid below. Which is the closest to the volume of the solid that remained?

• 2,286 cubic inches

• 3,266 cubic inches

• 10,864 cubic inches

• 13,062 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the height of the center support pole in feet?

Tags

CCSS.8.G.B.8