12 Views

Question : Find the volume of the largest possible sphere circumscribed by a cube of edge 7 cm.

Option 1: 179.67 cm3

Option 2: 169.67 cm3

Option 3: 189.67 cm3

Option 4: 199.67 cm3


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 179.67 cm3


Solution : Given: Side of the cube = 7 cm
Thus, the diameter of the sphere = 7 cm
Radius of sphere = $\frac{7}{2}$ cm.
Volume of the sphere = $\frac{4}{3}\pi r^3$
= $\frac{4}{3}×\frac{22}{7}×\frac{7}{2}×\frac{7}{2}×\frac{7}{2}$
= $\frac{49×11}{3}$ = $\frac{539}{3}$ = 179.67 cm3
Hence, the correct answer is 179.67 cm3.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

Know More About

Related Questions

Amity Online MBA
Apply
Apply for an Online MBA from Amity Online.
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books