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 = 4 cm, b = 6 cm and c = 2 cm

3

Formula

Volume(v) of the ellipsoid is \$V = (4/3) \times π \times a \times b \times c\$.

4

Step

Substitute the values into the formula:

\$V = (4/3) \times 3.14 \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\$

\$V = 200.96 cm^3\$

6

Solution

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

7

Sumup

Please summarize steps

Choices

8

Choice-A

This option is incorrect, as it is smaller than the calculated volume

Wrong \$28.08 "in"^3\$

9

Choice-B

This option is incorrect, not consistent with the correct calculation

Wrong \$168.08 cm^3\$

10

Choice-C

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

Correct \$200.96 cm^3\$

11

Choice-D

This option is incorrect, not consistent with the correct calculation

Wrong \$68.08 cm^3\$

12

Answer

Option

C

13

Sumup

Please summarize choices