Volume & Surface Area ACCELERATED

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.6.G.A.2

CCSS.5.MD.C.5B

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

Find the lateral surface area of the figure.

• 314.16

• 196.35

• 471.24

• 157.08

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