Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Surface area for Cube & Cylinder |
Grade: 6-a Lesson: S3-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
The radius of a cylinder is 21 cm and the lateral surface area is 943π sq. cm. Find the height and total surface area of the cylinder. |
|
2 |
Step |
The given values are |
r = 21 cm and lateral surface area = 943π sq.cm |
3 |
Formula |
Lateral surface area of a cylinder is |
\$"Lateral surface area" = 2π"rh"\$ |
4 |
Step |
Now plug the values in the formula |
\$943π = 2π times 21 times "h"\$ |
5 |
Step |
Now slove for h |
\$"h" = (943π)/(2π times 21)\$ |
6 |
Step |
After simplification |
⇒ \$"lh" = (943)/42\$ |
7 |
Formula |
Then find for total surface area is |
\$"Total surface area" = 2π"r"("r" + "h")\$ |
8 |
Step |
Now plug the values in the formula |
\$"Total surface area" = 2π times 21(21 + 22.45)\$ |
9 |
Step |
After simplification |
⇒ \$"Total surface area" = 42π times 43.45\$ |
10 |
Step |
So, the height of the cylinder is 22.45 cm and the total surface area is 5730.18 sq.cm. |
|
11 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
12 |
Choice.A |
This is wrong because it presents a different value for the total surface area |
22.45 cm and 5730.81 sq.cm |
13 |
Choice.B |
This is wrong because it presents a different value for the total surface area |
22.45 cm and 5703.18 sq.cm |
14 |
Choice.C |
This is correct because it accurately done the calculation by using the formula |
22.45 cm and 5730.18 sq.cm |
15 |
Choice.D |
This is wrong because it presents a different value for the total surface area |
22.45 cm and 5703.81 sq.cm |
16 |
Answer |
Option |
C |
17 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
Copyright © 2020-2024 saibook.us Contact: info@saibook.us Version: 1.5 Built: 23-April-2024 08:10 PM EST