Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
56 views
in Aptitude by (111k points)
closed by
The ratio of heights of two right circular cylinders is 5 ∶ 2 and that of their diameters is 4 ∶ 1. What is the ratio of their volumes? 
1. 25 ∶ 8
2. 40 ∶ 1
3. 10 ∶ 1 
4. 20 ∶ 1

1 Answer

0 votes
by (105k points)
selected by
 
Best answer
Correct Answer - Option 2 : 40 ∶ 1

Given:

Ratio of heights of the two right circular cylinders = 5 ∶ 2

The ratio of diameters of the two right circular cylinders = 4 ∶ 1

Formula Used:

The volume of the Cylinder = πr2h

where, 

r = Radius of the cylinder

h = Height of the cylinder

Calculation:

Let the heights of the two right circular cylinders be 5x and 2x respectively

Let the radii of the two right circular cylinders be 2y and y/2 respectively. (Since Ratio of radii of two cylinders = ratio of diameters of the two cylinders)

Now, the ratio of the volumes of the two cylinders

⇒ (Volume of the first cylinder)/(Volume of the second cylinder) 

⇒ [π × (2y)2 × 5x]/[π × y2/4 × 2x]

⇒ [π × 4y2 × 5x]/[π × y2/4 × 2x]

⇒ [40xy2]/[xy2]

⇒ 40/1

⇒ 40/1

⇒ 40 ∶ 1

∴ The ratio of the volumes of the two cylinders is 40 ∶ 1.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...