Step-3

Title: Volume

Grade: 6-a Lesson: S2-L7

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the radius of a cone whose volume and height are 225 cubic units and 16 units respectively.

2

Step

The given values are

V = 225 and h = 16

3

Formula:

The volume of cone is

\$ V=1/3 ​π r^2 h\$

4

Step

Now substitute the values

\$225 = 1/3 π r^2 times 16\$

5

Step

After simplification

\$225 = 16.74 r^2\$

6

Step

After simplification

\$r^2 = 13.44\$

7

Step

After simplification

\$r = \sqrt13.44\$

8

Step

After simplification

r = 3.66 units

9

Step

The radius of the cone is 3.66 unit

10

Sumup

Can you summarize what you’ve understood in the above steps?

11

Choice.A

This is incorrect because the calculations involve using the formula for the volume of a cone

13.432 units

12

Choice.B

This is accurate because we find the answer by applying the cone volume formula during calculations

3.66 units

13

Choice.C

This is incorrect because the calculations involve using the formula for the volume of a cone

16.74 units

14

Choice.D

This is incorrect because the calculations involve using the formula for the volume of a cone

4.02 units

15

Answer

Option

B

16

Sumup

Can you summarize what you’ve understood in the above steps?


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