45 Views

Question : The height of a solid cylinder is 35 cm. The circumference of its base is 37 cm more than the radius. What will be the volume of this cylinder?

Option 1: 4740 cm3

Option 2: 4850 cm3

Option 3: 5390 cm3

Option 4: 4420 cm3


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

Correct Answer: 5390 cm3


Solution : Given: The height of a solid cylinder is 35 cm.
The circumference of its base is 37 cm more than the radius.
The volume of the cylinder = $\pi r^2h$
Circumference of the circle = $2\pi r$
Where $r$ and $h$ are the radius and height respectively.
According to the question,
⇒ $r+37=2\pi r$
⇒ $37=r\times(2\pi –1)$
⇒ $37=r\times(2\times\frac{22}{7} –1)$
⇒ $37=r\times(\frac{44}{7} –1)$
⇒ $37=r\times(\frac{44–1}{7})$
⇒ $37=r\times(\frac{37}{7})$
⇒ $r=7$ cm
The volume of the cylinder = $\frac{22}{7} \times7^2\times35$
$=22\times 7\times 35=5390$ cm3
Hence, the correct answer is 5390 cm3.

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