1 View

Question : The volume of a solid hemisphere is 19,404 cm3. Its total surface area (in cm2) is:
(Take $\pi=\frac{22}{7}$)

Option 1: 2772

Option 2: 3465

Option 3: 2079

Option 4: 4158


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 9th Jan, 2024

Correct Answer: 4158


Solution : Let $r$ be the radius of the hemisphere.
Volume of a hemisphere, V = $\frac{2}{3} \pi r^3$
Given: V = $19404$
⇒ $19404 = \frac{2}{3} \pi r^3$
⇒ $19404 = \frac{2}{3}\times \frac{22}{7}\times  r^3$
⇒ $r^3= 9261$
⇒ $r = 21\ \text{cm}$
Total Surface Area of the hemisphere = $3 \pi r^2=3 \times \frac{22}{7} \times 21^2= 4158\ \text{cm}^2$
Hence, the correct answer is 4,158 cm 2 .

SSC CGL Complete Guide

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

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
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