Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Time coversations |
Grade: 6-a Lesson: S2-L8 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
A cone has a height of 8 meters and a radius of 6 meters. What is the surface area of the cone? |
|
2 |
Step |
The given values are |
h = 8 m and r = 6m |
3 |
Formula: |
The surface of cone is |
stem;[ surface area = π times r times (r + l)] |
4 |
Formula: |
Here l is slant height. of the cone is |
\$l = \sqrt(r^2 + h^2)\$ |
5 |
Step |
Now substitute the values in the slant height formula |
\$l = \sqrt(6^2 + 8^2)\$ |
6 |
Step |
After simplification |
\$l = \sqrt(36 + 64)\$ |
7 |
Step |
After simplification |
\$l = \sqrt (100)\$ |
8 |
Step |
After simplification |
l = 10 m |
9 |
Step |
Now substitute the values in the surface area formula |
\$Surface Area = π times 6 times (6 + 10)\$ |
10 |
Step |
After simplification |
\$Surface Area = π times 6 times 16\$ |
11 |
Step |
After simplification |
Surface Area = 301.59 square meters |
12 |
Step |
The surface of the cone is 310.59sq.m |
|
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
14 |
Choice.A |
This is wrong because the measurements use different units. Use units for height, not area |
\$300 m^2\$ |
15 |
Choice.B |
This is correct because the measurements use the same units |
\$301.59 m^2\$ |
16 |
Choice.C |
This is wrong because the measurements use different units. Use units for height, not area |
301.59 m |
17 |
Choice.D |
This is wrong because the measurements use different units. Use units for height, not area |
300 m |
18 |
Answer |
Option |
B |
19 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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