Step-1

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

The volume of a cone is \$43π cm^3\$. Its diameter is 6cm.Find its height.

2

Step

The given values are

V = 43π , d = 6

3

Formula:

The volume of cone is

\$ V=1/3 ​π r^2 h\$

4

Hint

\$r = d/2\$

\$r = 6/2\$
r = 3

5

Step

Now substitute the values

\$43π = 1/3 times π times (3)^2 times h\$

6

Step

After simplification

\$43π = 3π times h\$

7

Step

After simplification

\$h = 43π /3π\$

8

Step

After simplification

h = 14.33 cm

9

Step

The height of a cone is 14.33 cm

10

Sumup

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

11

Choice.A

This is incorrect because the measurements have different units. The units should be used for volume, not height

\$14.32 m^3\$

12

Choice.B

This is wrong because the measurements share the same units, but the error lies in the calculations

9.426 m

13

Choice.C

This answer is right because the measurements use the same units, ensuring the calculation is done accurately and precisely

14.33 m

14

Choice.D

This is incorrect because the measurements have different units. The units should be used for volume, not height

\$9.426 m^3\$

15

Answer

Option

C

16

Sumup

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


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