Volume and Surface Area

A cone is placed inside a cylinder.  The two figures have the same base area and the same height.  What is the volume of the cylinder that is not taken up by the cone?

• 314.16
• 471.24
• 235.62
• 157.08

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A spherical Christmas ornament is filled halfway with snow.  The ornament has a diameter of 4 inches.  What is the volume of snow in the ornament?

• 33.51
• 10.67
• 16.76
• 8.38

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A FedEx truck has three cargo trailers attached to the back of the cab.  If each trailer is 20 feet by 7 feet by 8 feet, how much capacity does the triple trailer have?

• 1120
• 30240
• 3360
• Not here

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A company has been using boxes as shown below.  They have decided to redesign their packages to be more eco-friendly.  The new box will look like the old design but the height of the box will be 2 inches shorter.  What is the difference in volumes between the old design and the new one?

• 648
• 576
• 72
• 125

Tags

CCSS.7.G.B.6

The coaches have a ball cage that is 3 feet in width, 4 feet long, and 2 feet tall.  If the radius of a basketball is 6 inches, and all of the basketballs are similar, how many basketballs can fit in the cage?

• 41472
• 904
• 2
• 45

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Allison has a hexagonal aquarium that is 22 inches tall.  The area of the base is 356 square inches.  She puts 3 inches of gravel in the bottom of the tank, and fills the tank with water until it reaches 2 inches from the top of the aquarium.  What is the volume of water in the tank?

• 6052
• 7832
• 7120
• 6764

Tags

CCSS.7.G.B.6

The lateral surface area of a cylinder is 94.2 centimeters squared.  The height is 6 centimeters.  What is the diameter?

• 2.5
• 5
• 3551.26
• 15.7

Tags

CCSS.8.G.C.9

Find the lateral surface area of the figure.

• 314.16
• 196.35
• 471.24
• 157.08

Tags

CCSS.8.G.C.9

Find the number of square feet needed to cover the figure.

• 76
• 472
• 360
• 36

Tags

CCSS.7.G.B.6

Find the volume of a cone with a radius of 7.2 inches and a height of 3.4 inches.

• 184.57
• 738.3
• 553.72
• Not here

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3