Class 10 Exam > Class 10 Questions > The radii of two cylinders are in the ratio o...
Start Learning for Free
The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height?
Most Upvoted Answer
The radii of two cylinders are in the ratio of 1: root 3 full storm is...
Solution:
Given:
The radii of two cylinders are in the ratio of 1: √3.
Let the radii be r and √3r.
Volume of a cylinder:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Equating volumes:
Since the volumes of the two cylinders are equal, we can set up the following equation:
πr^2h = π(√3r)^2h
Simplifying, we get:
r^2h = 3r^2h
Dividing by r^2 on both sides:
h = 3h
Ratio of heights:
The ratio of their respective heights is 1:3.
Therefore, the ratio of the heights of the two cylinders is 1:3.
Community Answer
The radii of two cylinders are in the ratio of 1: root 3 full storm is...
Let the radius of first cylinder be r then the radius of second is root 3 r. Volume is given to be same that means pi*r^2*h1 is equal to 3*pi*r^2*h2.Assuming h1 and h2 to be the respective heightssolving the equation we get h1/h2 is equal to 1/3Hope you understood.:)
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height?
Question Description
The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height?.
The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height?.
Solutions for The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? defined & explained in the simplest way possible. Besides giving the explanation of
The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height?, a detailed solution for The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? has been provided alongside types of The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? theory, EduRev gives you an
ample number of questions to practice The radii of two cylinders are in the ratio of 1: root 3 full storm is the volume of two cylinder be same find the ratio of their respective height? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup