Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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 |
The volume of a cylinder is 791.28 cubic feet and the height is 7 feet the diameter of the cylinder. |
|
2 |
Step |
The given volume and height of cylinder is |
v = 791.28 \$"feet"^3\$ h = 7 feet |
3 |
Formula |
The volume of the cylinder is a product of height to radius with constant values |
v = \$π times r^2 times h\$ |
4 |
Step |
substitute the values in the above formula we get radius |
⇒ 791.28 = \$π times r^2 times 7\$ ⇒ 791.28 = \$3.14 times r^2 times 7\$ ⇒ 791.28 = \$21.98 r^2\$ |
5 |
Step |
Move h coefficient into right hand side |
⇒ \$791.28/21.98\$ = \$r^2\$ ⇒ 36 = \$r^2\$ ⇒ \$sqrt 36\$ = r ⇒ \$sqrt (6 times 6)\$ = r ⇒ 6 = r |
6 |
Formula |
The diameter is double of its radius |
D = 2r |
7 |
Step |
Substitute the r value |
D = \$2 times 6\$ D = 12 |
8 |
Step |
The diameter of the cylinder is 12 feet. |
|
9 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
10 |
Choice.A |
The received answer for this problem doesn’t align with option, making it incorrect |
15 feet |
11 |
Choice.B |
The received answer for this problem doesn’t align with option, making it incorrect |
18 feet |
12 |
Choice.C |
The received answer for this problem doesn’t align with option, making it incorrect |
14 feet |
13 |
Choice.D |
This is incorrect as it does not match the correct calculation |
12 feet |
14 |
Answer |
Option |
D |
15 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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