A cylinder whose height is equal to its diameter has the same volume as a sphere of radius 4 cm. Calculate the radius of base of the cylinder correct to one decimal place.
Add an Answer
More Questions From This User See All
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
here is your answer...
-----------------------------------
radius of sphere is given..=4cm
volume of sphere =4/3πr^3
=)4/3*22/7*4*4*4
=>π*4/3*4*4*4
=)4/3π*4^3
now ,let the radius of cylinder =r.
diameter become ,2*r
volume of cylinder.=πr^2h ..,where given diameter is equal to height .so height is 2r.also
volume of cylinder =π*(r)^2*2r..
=>2πr^3
but it is also given that volume of cylinder is equal to sphere ..
so,,,2πr^3=4/3π*4^3
=)r^3=2/3*4^3
=>r^3=2/3*4^3
=)r^3=128/3
r=3√128./3
r=4 3^√2/3 Ans.
=)
hope it help
@rajukumar ☺☺