Volume of Cylinders, Cones, 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

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 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

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 table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

• 1,676 mm³
• 18,850 mm³
• 33,510.3 mm³
• 268,083 mm³

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

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

• 600 in³
• 1,885 in³
• 3,140 in³
• 12,566 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.8.G.C.9

CCSS.HSG.GMD.A.3

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.8.G.C.9

CCSS.HSG.GMD.A.3

Find the Volume if the height is 10 cm and radius 3 cm?

• 250
• 200
• 283
• 180

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3