Volume of Cylinders, Cones, and Spheres

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

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?

• 176.6 ft³

• 706.8 ft³

• 88.3 ft³

• 353.4 ft³

What is the volume? Round to the nearest tenth.

• 78.5 m³

• 392.5 m³

• 523.3 m³

• 62.8 cm³

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

If a cylinder and a cone have the same radius and height, how many cones of water will it take to fill the cylinder?

• 1
• 2
• 3
• 4

What is this formula used to find?
V=πr²h

• The volume of a cylinder
• The volume of a cone
• The volume of a sphere
• The area of a circle

What is this formula used to find?
A=πr²

• The volume of a cylinder
• The volume of a cone
• The volume of a sphere
• The area of a circle

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.