Step-2

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

If the height of a given cone is 21 ft and the diameter of the circular base is 12 ft. Then find its volume.

2

Step

The given values are

h = 21 ft , d =12 ft

3

Formula:

The volume of cone is

\$ V=1/3 ​π r^2 h\$

4

Hint

\$r = d/2\$

\$r = 12/2\$
r = 6

5

Step

Now substitute the values

\$V = 1/3 times π times (6)^2 times 21\$

6

Step

After simplification

\$V = 1/3 times 3.1415 times (36) times 21\$

7

Step

After simplification

\$V = 2374.974 /3\$

8

Step

After simplification

V = 791.65 cu.ft

9

Step

The volume of a cone is 791.65 cu.ft

10

Sumup

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

11

Choice.A

This is wrong because the measurements use different units. Use units for height, not volume

791 ft

12

Choice.B

This is not correct because it does not match the calculated volume

791.56 cu.ft

13

Choice.C

This is not correct because it does not match the calculated volume

790 cu.ft

14

Choice.D

This is correct because it match the calculated volume

791.65 cu.ft

15

Answer

Option

D

16

Sumup

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


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