Lesson 8.3

Lesson 8.3

​Volume of Cones

​Definition:

Cone: A cone is a 3 dimensional figure that has a base of a circle and the circumference of the circle gradually decreases as the height increases

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​How to find Volume of a Cone:

Volume of a cone is similar to volume of a cylinder, except we have to account for the circle size changing as the height increases.

The formula for volume of a cone is:​

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Where r is the radius and h is the height.​

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​What is the volume of a cone with radius 3 and height 4? Leave your answer in terms of pi.

Multiple Choice

What is the volume of the cone?

• V = 27π

• V = 71π

• V = 81π

• V = 12π

Multiple Choice

What is the volume of a cone with radius 2 and height 3? Leave your answer in terms of pi.

• V = 12π

• V = 18π

• V = 4π

• V = 6π

​A cone has volume 84.78 cubic inches. If the radius of the cone is 3 inches, what is the height of the cone?

​An ice cream cone is filled exactly to the top. The cone has a depth of 9 cm and a circumference of 8π. What is the volume of the cone?

Multiple Choice

A cone has circumference 12π and height 2. What is the volume?

• 24π

• 48π

• 72π

• Not enough information to solve

Multiple Choice

A cone has a circular base with area 6π and height 5. What is the volume?

• 30π

• 11π

• 10π

• π

​Conclusion: Write two complete sentences about what you learned.