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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.:)
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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?
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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?.
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