Lesson Example Discussion Quiz: Class Homework |
Step-4 |
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 of the cone and lateral area of a cone having a base diameter of 16 cm and height of 12 cm. (pi = 3.141) |
|
2 |
Step |
The given values are |
d = 16 cm and h = 12 cm pi = 3.141 |
3 |
Formula |
To find the lateral area of cone is |
\$"LA" = πrl\$ |
4 |
Hint |
\$ r = d/2 \$ |
|
5 |
Step |
slant height and make it simpler |
\$"l" = (\sqrt (r^2 + h^2))\$ \$"l" = (\sqrt (8^2 + 12^2))\$ \$"l" = (\sqrt ( 64 + 144))\$ \$"l" = \sqrt (208)\$ l = 14.42 cm |
6 |
Step |
Plug the value in the formula |
\$"LA" = 3.141 times 8 times 14.42\$ |
7 |
Step |
After simplification |
LA = 362.34 sq.cm |
8 |
Step |
To find the volume of cone |
\$V = 1/3 π(r^2)h\$ |
9 |
Step |
Now plug the values in the formula |
\$"V" = 1/3 times 3.141 (8^2) times 12\$ \$"V" = 1/3 times 3.141 times 64 times 12\$ \$"V" = (2412.288)/ 3\$ V = 804.096 cu.cm |
10 |
Step |
Therefore, the total surface area and volume of the cone are \$362.34 cm^2\$ and \$ 804.096 cm^3\$. |
|
11 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
12 |
Choice.A |
This is incorrect because the calculated values do not match the given values |
362 sq.cm and 804 cu.cm |
13 |
Choice.B |
This is incorrect because the calculated values do not match the given values |
326 sq.cm and 840 cu.cm |
14 |
Choice.C |
This is correct because the calculated values the given values |
362.34 sq.cm and 804.096 cu.cm |
15 |
Choice.D |
This is incorrect because the calculated values do not match the given values |
362.44 sq.cm and 804.96 cu.cm |
16 |
Answer |
Option |
C |
17 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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