55 Views

Question : If the volume of a sphere is 24,416.64 cm3, find its surface area (take $\pi$ = 3.14) correct to two places of decimal.

Option 1: 3069.55 cm2

Option 2: 4069.44 cm2

Option 3: 5096.66 cm2

Option 4: 6069.67 cm2


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 4069.44 cm2


Solution : Let the radius of the sphere be $r$.
Volume of sphere = 24416.64 cm3
$⇒\frac{4}{3} \pi r^3 $ = 24416.64 cm3
$\therefore r$ = $\sqrt[3]{\frac{24416.64 × 3}{4 × 3.14}}$ = 18 cm
The surface area of the sphere
= $4\pi r^2$
= $4 × 3.14 × 18^2$
= $4069.44$ cm2
Hence, the correct answer is 4069.44 cm2.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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