Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Geometry |
Grade: 4-a Lesson: S3-L8 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the volume and total surface area of the cylinder, with a radius of 13 mm and height of 17 mm. (pi = 3.141) |
|
2 |
Step |
The given values are |
r = 13 mm and h = 17 mm and pi = 3.141 |
3 |
Formula |
To find the total surface area of cylinder |
\$"TSA" = 2πr^2 + 2πrh\$ |
4 |
Step |
Now plug the value in the formula |
\$"TSA" = 2 times 3.141 times (13)^2 + 2 times 3.141 times 13 times 17\$ \$"TSA" = 6.282 times 169 + 1388.322\$ \$"TSA" = 1061.658 + 1388.322\$ TSA = 2449.98 sq.mm |
5 |
Formula |
To find the volume of cylinder |
\$V = πr^2h\$ |
6 |
Step |
Now plug the value in the formula |
\$"V" = 3.141 times (13)^2 times 17\$ \$"V" = 3.141 times 169 times 17\$ V = 9024.09 cu.mm |
7 |
Step |
Therefore, the total surface area and volume of the cylinder are \$2449.98 mm^2\$ and \$9024.09 mm^3\$. |
|
8 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
9 |
Choice.A |
This is incorrect because the calculated values do not match the given values |
9024 sq.mm and 2449 cu.mm |
10 |
Choice.B |
This is incorrect because the calculated values do not match the given values |
9240 sq.mm and 2494 cu.mm |
11 |
Choice.C |
A rectangular prism has 8 vertices, 12 edges, and 6 faces, it matches the answer. Therefore, it is the correct answer |
9024.09 sq.mm and 2449.98 cu.mm |
12 |
Choice.D |
This is incorrect because the calculated values do not match the given values |
9024.90 sq.mm and 2449.88 cu.mm |
13 |
Answer |
Option |
C |
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
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