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, b, & c are

4 cm, 6 cm & 2 cm

3

Step

Volume(v) of ellipsoid

\$V=(4/3) × π × a × b × c\$

4

Step

Substitute the values into the formula

\$V = (4/3) × π × 4 cm × 6 cm × 2 cm\$

\$V = (4/3) × 3.14 × 48 cm^3\$

5

Step

Calculate the Volume

\$V = 602.88/3\$
\$V = 200.96 cm^3\$

5

Solution

So, the volume of the ellipsoid is \$200.96 cm^3\$.

6

Sumup

Please summarize Problem, Clue, Hint, Formula, Steps and Solution

Choices

7

Choice-A

Incorrect, as it is smaller than the calculated volume

Wrong \$28.08 "in"^3\$

8

Choice-B

Incorrect, as it is smaller than the calculated volume

Wrong \$168.08 cm^3\$

9

Choice-C

It is the correct answer because it is the closest approximation to the calculated volume

Correct \$200.96 cm^3\$

10

Choice-D

Incorrect, not consistent with the correct calculation

Wrong \$68.08 "in"^3\$

11

Answer

Option

C

12

Sumup

Please summarize choices