Advanced Volume

Which cylinder will have a larger volume?

• Cylinder A
• Cylinder B

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is volume?

• The amount of space of a 2-D object
• The amount of space in a 3-D object
• Water
• Area

Which equation can be used to find the volume of a Pringle container that has a a diameter of 9 inches and a height of 32 inches?

• V = π(9)

• V = π(4.5)²(32)

• V = π(9)²(32)

• V = π(4.5)(32)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume

• 40π m³
• 160π m³
• 400π m³
• 100π m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?

• The cylinder is 1/3 the volume of the cone. 
• The cone is 1/3 the volume of the cylinder. 
• They have the same volume. 
• Their volumes are not related at all. 

Tags

CCSS.5.MD.C.5C

• 8.4 ft³
• 100.5 ft³
• 25 ft³
• 16.8 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which figure has a volume of 45π ft³?

• Cylinder with a height of 5ft and diameter of 6 ft
• Sphere with a radius of 3 ft
• Cone with a radius of 3 feet and height of 5 ft
• Sphere with a diameter of 5 feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

• 24,280 cubic feet
• 16,430 cubic feet
• 11,720 cubic feet
• 4,480 cubic feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.
• The volume of Ball 1 is 8 times the volume of Ball 2.
• The volume of Ball 1 is twice the volume of Ball 2.
• The volume of Ball 2 is 8 times the volume of Ball 1.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3