21 Views

Question : A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 litres per second. How much time (in hours) will it take to empty $\frac{2}{3}$ part of the tank, if the internal radius of the tank is 10.5 m?

Option 1: $\frac{185}{3}$

Option 2: $\frac{185}{6}$

Option 3: $\frac{175}{3}$

Option 4: $\frac{175}{2}$


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 13th Jan, 2024

Correct Answer: $\frac{175}{3}$


Solution : The volume of the hemispherical tank = $\frac{2}{3}\pi r^3$
= $\frac{2}{3}\times\frac{22}{7}×10.5 × 10.5 × 10.5$
= 2425.5 m3
The capacity of the tank is = 2425.5 × 1000 L
= 2425500 L
Time taken by the pipe emptied $\frac{2}{3}$ part of the tank is 
= $\frac{\frac{2}{3} × 2425500}{7.7}$ sec
= 210,000 sec
Time in hours = $\frac{210,000}{3600}$
= $\frac{175}{3}$ hours
Hence, the correct answer is $\frac{175}{3}$.

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