Question : The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 4 : 3. Their volumes will be in the ratio ______.
Option 1: 1 : 12
Option 2: 2 : 9
Option 3: 3 : 10
Option 4: 1 : 9

Question

Question : The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 4 : 3. Their volumes will be in the ratio ______.

Option 1: 1 : 12

Option 2: 2 : 9

Option 3: 3 : 10

Option 4: 1 : 9

Team Careers360 · Accepted Answer

Correct Answer: 1 : 12

Solution : Let the radii of the 1st and 2nd cylinders be $x$ and $4x$ and their heights be $4y$ and $3y$, respectively.
Volume of 1st cylinder : volume of 2nd cylinder
$\pi r_1^2 h_1:\pi r_2^2 h_2$
$=\pi x^2 imes 4y:\pi (4x)^2 imes 3y$
$=x^2 imes 4y:(4x)^2 imes 3y$
$=1:12$
Hence, the correct answer is 1 : 12.

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Online Courses

Products

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Student Visas

Exams

Top Schools

Products & Resources

NCERT Study Material

Question : The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 4 : 3. Their volumes will be in the ratio ______.Option 1: 1 : 12Option 2: 2 : 9Option 3: 3 : 10Option 4: 1 : 9

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC CGL

Download the Careers360 App on your Android phone

Sign In/Sign Up

Question : The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 4 : 3. Their volumes will be in the ratio ______.
Option 1: 1 : 12
Option 2: 2 : 9
Option 3: 3 : 10
Option 4: 1 : 9