Step-3

Title: Volume of 3d-shapes(cone , cylinder)

Grade: 4-a Lesson: S3-L4

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 9 cm and the diameter of the circular base is 11 cm. Then, find its volume ( π = 3.141).

2

Step

The given values are

h = 9 cm and d = 11 cm ( π = 3.141)

3

Formula

To find the volume (V) of a cone, you can use the formula:

\$V = 1/3​ times π times r^2 times h\$

4

Step

The diameter (d) is twice the radius (r)

⇒ \$r = d/2\$

⇒ \$ r = 11/2 \$

⇒ r = 5.5 cm

5

Step

Now plug the values into the formula

\$ V = 1/3 times 3.141 times (5.5)^2 times 9\$

6

Step

After simplification

⇒ \$ V = 1/3 times 3.141 times 30.25 times 9\$

⇒ \$V = 1/3 times 855.137\$

⇒ V = 285.045 cu.cm

7

Step

Therefore, the volume of the given cone is approximately V = 285.045 cu.cm

8

SumUp

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

9

Choice.A

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

258.45 cu.cm

10

Choice.B

This is correct because it match the calculated volume

285.045 cu.cm

11

Choice.C

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

258.045 cu.cm

12

Choice.D

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

248.45 cu.cm

13

Answer

Option

B

14

SumUp

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


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