14. If the radius of a cylinder is r and the height is h,
how will the volume change, if the (a) height is
doubled (b) height is doubled and the radius is
halved and (c) height is same and the radius is
halved..
Share
14. If the radius of a cylinder is r and the height is h,
how will the volume change, if the (a) height is
doubled (b) height is doubled and the radius is
halved and (c) height is same and the radius is
halved..
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer :-
Here the concept of Volume of Cylinder has been used. We are given certain conditions of change in dimensions of cylinder. We can apply them in the formula of Volume of Cylinder and find our answer.
Let's do it !!
_____________________________________________
★ Formula used :-
_____________________________________________
★ Solution :-
Given,
» Radius of the cylinder = r
» Height of the cylinder = h
Then, without changing dimensions of Cylinder, its volume will be :-
_____________________________________________
a.) ~ For the Volume change of cylinder when height is doubled ::
• Height of the cylinder = 2h
_____________________________________________
b.) ~ For the Volume change of cylinder when height is doubled and radius is halved ::
• Height of Cylinder = 2h
• Radius of Cylinder = ½ × r
_____________________________________________
c.) ~ For Volume of cylinder when Radius is halved ::
• Radius of the cylinder = ½ × r
_____________________________________________
★ More formulas to know :-