Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Geometry |
Grade: Core-SAT3 Lesson: S3-P2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
An ellipsoid whose radius and its axes are a = 4 cm, b = 6 cm, and c = 2 cm, respectively. Determine the volume for the given ellipsoid. (use pi = 3.14) |
|
2 |
Step |
Given, a is b is c is |
4 cm 6 cm 2 cm |
3 |
Step |
Volume(v) of ellipsoid |
\$"V" = (4/3) times π times "a" times "b" times "c"\$ |
4 |
Step |
Substitute the values into the formula |
\$"V" = (4/3) times π times 4cm times 6cm times 2cm\$ \$"V" = (4/3) times 3.14 times 48(cm)^3\$ |
5 |
Step |
Calculate the Volume |
\$"V" = (602.88)/3 = 200.96(cm)^3\$ |
6 |
Step |
So, the volume of the ellipsoid is \$200.96(cm)^3\$. |
|
7 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
8 |
Choice.A |
Incorrect, as it is smaller than the calculated volume |
\$28.08("in")^3\$ |
9 |
Choice.B |
Incorrect, not consistent with the correct calculation |
\$168.08(cm)^3\$ |
10 |
Choice.C |
It is the correct answer because it is the closest approximation to the calculated volume |
\$200.96(cm)^3\$ |
11 |
Choice.D |
Incorrect, not consistent with the correct calculation |
\$68.08("in")^3\$ |
12 |
Answer |
Option |
C |
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
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