Cones, Cylinders, Spheres

Find the volume of the figure.

• 63 cm³
• 91 cm³
• 819 cm³
• 409.5 cm³

Tags

CCSS.7.G.B.6

How do you find the volume of a sphere

• V= ^1/₃ πr²h
• V= ^4/₃ πr²h
• V= ^4/₃ πr³
• V= πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cone?

• V= ^1/₃ πr²h
• V= ^4/₃ πr²h
• V= ^4/₃ πr³
• V= πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cylinder 

• V= ^1/₃ πr²h
• V= ^4/₃ πr²h
• V= ^4/₃ πr³
• V= πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A hollow glass cone is filled with perfume and placed inside of a hollow cylindrical container with the same height and diameter as the cone. The cylinder will then be filled with packing material. If the cone occupies 60 cm³ of space, how many cubic centimeters of packing material will be needed?

• 30
• 60
• 120
• 180

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A water tank is a compound shape consisting of a cylinder and an inverted cone as shown below. The cylinder has a diameter of 8 meters (m) and a height of 6 m. The cone has a diameter of 8 m and a height of 3 m. What is the total volume of the tank in cubic meters? (Use≈ 3.14.)

• 200.96
• 301.44
• 351.68
• 452.16

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

A soccer ball has a radius of 11 cm. Using π=3.14, what is the approximate volume of the soccer ball in cubic centimeters?

• 1,520 cm³
• 3,135 cm³
• 4,772 cm³
• 5,572 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure?

• 781 cm³
• 706 cm³
• 631 cm³
• 593 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a volume of 60π cubic feet. If the radius is 2 feet, what is the height of the cone?

• 10 feet
• 15 feet
• 45 feet
• 90 feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3