Finding the Volume of a Cone

What is the purpose of comparing a cone's volume to that of a cylinder?

• To calculate the height of the cone

• To find the cylinder's volume

• To demonstrate the cone's volume is a fraction of the cylinder's

• To prove that a cylinder is larger than a cone

Tags

CCSS.3.MD.A.2

How many times does the cone's volume fit into the cylinder's volume?

• Four times

• Five times

• Two times

• Three times

Tags

CCSS.3.MD.A.2

What fraction of the cylinder's volume is the cone's volume?

• 1/3

• 1/5

• 1/4

• 1/2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Why do we multiply by 1/3 when calculating the volume of a cone?

• Because the cone is 1/3 the height of the cylinder

• Because the cone's base area is 1/3 of the cylinder's

• Because the cone has 1/3 the radius of the cylinder

• Because the cone's volume is 1/3 of the cylinder's

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cone?

• πr²h

• πr³

• 1/3 πr²h

• 2πrh

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What does the 'h' represent in the formula for the volume of a cone?

• The diameter of the base

• The radius of the base

• The height of the cone

• The circumference of the base

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the radius of a cone if you're given the diameter?

• Multiply the diameter by π

• Divide the diameter by 2

• Square the diameter

• Multiply the diameter by 2

Tags

CCSS.7.G.B.4

What is the first step in calculating the volume of a cone?

• Divide by 3

• Square the height

• Find the radius

• Multiply by π

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

What operation do you perform first when calculating the volume of a cone?

• Addition

• Subtraction

• Multiplication

• Exponents

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the cone in the example?

• 392.5 cubic centimeters

• 1177.5 cubic centimeters

• 401.92 cubic centimeters

• 133.97 cubic centimeters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3