2 Views

Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:

Option 1: 9 : 4

Option 2: 2 : 1

Option 3: 9 : 7

Option 4: 8 : 5


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 11th Jan, 2024

Correct Answer: 8 : 5


Solution : Given,
The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2.
We know,
The volume of cylinder = $\pi r^2h$, where $r$ is the radius and $h$ is the height.
⇒ $\frac{V_1}{V_2}=\frac{r_1^2h_1}{r_2^2h_2}$, where $V_1$ and $V_2$ are the volume of two cylinders
⇒ $\frac{V_1}{V_2}=(\frac{4}{5})^2(\frac{5}{2})$
⇒ $\frac{V_1}{V_2}=\frac{4\times4\times5}{5\times5\times2}$
⇒ $\frac{V_1}{V_2}=\frac{2\times4}{5}$
⇒ $\frac{V_1}{V_2}=\frac85$
Hence, the correct answer is 8 : 5.

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