Volume of Cones, Cylinders and Spheres

How do you find the volume of a cylinder?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

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 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

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

• 377 cubic feet
• 942 cubic feet
• 2,958 cubic feet
• 3,768  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.7.G.B.6

CCSS.7.RP.A.2

CCSS.7.RP.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.7.G.B.6

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches
• 63 cubic inches
• 66 cubic inches
• 198 cubic inches

Tags

CCSS.7.G.B.6

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.

• 261,000
• 2,351,000
• 18,810,000
• 41,210,000

Tags

CCSS.7.G.B.6

Find the Volume of the Cone

• 150.72 cm³
• 75.36 cm³
• 452.16 cm³
• 151 cm³

Tags

CCSS.8.EE.A.2

Find the volume of the Sphere

• 78.5 m³

• 392.5 m³

• 523.3 m³

• 62.8 cm³