Volume of Cones and Cylinders

Volume of Cones and Cylinders

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the concept of cone volume, comparing it to cylinder volume. It covers the formula for calculating cone volume, emphasizing the importance of radius and height. The tutorial includes examples using different values and rounding methods, and applies the concept to real-world scenarios like water tanks.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the volume of a cone and a cylinder with the same base and height?

A cone has twice the volume of a cylinder.

A cone has one-third the volume of a cylinder.

A cone has the same volume as a cylinder.

A cone has half the volume of a cylinder.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the correct formula for the volume of a cone?

Volume = 1/2 * pi * radius^2 * height

Volume = pi * radius^2 * height

Volume = 1/3 * pi * radius^2 * height

Volume = pi * radius * height

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the radius if you know the diameter of a cone's base?

Square the diameter

Subtract 2 from the diameter

Divide the diameter by 2

Multiply the diameter by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a cone and a cylinder have the same base and height, how many cones can fit into the cylinder?

Four cones

Two cones

One cone

Three cones

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the practical example, what value is used for pi when estimating the volume of a cone?

3.0

3.14159

22/7

3.14

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When asked to write the volume in terms of pi, what should you do?

Use 22/7 for pi

Ignore pi in the calculation

Use 3.14 for pi

Leave pi in the answer

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should you round the volume of a cone to the nearest hundredth?

Round to the nearest whole number

Do not round

Round to two decimal places

Round to one decimal place

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of calculating the volume of a cone in the water capacity example?

To determine how much water it can hold

To find the surface area

To calculate the weight of the cone

To find the slant height

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many smaller tanks can be filled from the larger tank's volume if each smaller tank holds 500 cubic feet?

10 tanks

12 tanks

15 tanks

20 tanks