Volume of Cones and Cylinders

Volume of Cones and Cylinders

Assessment

Interactive Video

Mathematics

5th - 6th Grade

Hard

Created by

Thomas White

FREE Resource

Ms. Marion introduces a lesson on calculating the volume of cones and cylinders. The lesson covers the formula for the volume of a cone, comparing it with a cylinder, and solving related problems. Students are encouraged to assess their understanding and solve practice problems. Advanced challenges are presented, including a real-world application involving a grain silo. The lesson concludes with a review of key concepts.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of Unit 5, Lesson 15?

Learning the formula for the volume of a cone

Calculating the perimeter of a rectangle

Understanding the surface area of a sphere

Exploring the properties of a triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When comparing a cone and a cylinder with the same height and base, which typically has a larger volume?

It depends on the material

The cone

They have the same volume

The cylinder

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a cylinder has a volume of 90 cm³, what is the volume of a cone with the same base and height?

30 cm³

45 cm³

60 cm³

90 cm³

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the volume of a cone in terms of the volume of a cylinder?

It is the same as the volume of the cylinder

It is one-third the volume of the cylinder

It is half the volume of the cylinder

It is twice the volume of the cylinder

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the volume of a cone?

π × diameter × height

π × radius² × height

1/3 × π × radius² × height

2/3 × π × radius² × height

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a cone has a base area of 36π and a height of 8, what is its volume?

72π

96π

48π

36π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A cone-shaped popcorn cup has a radius of 5 cm and a height of 9 cm. How much popcorn can it hold?

180 cm³

200 cm³

235.5 cm³

150 cm³

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