A solid metal cone of height 20cm and radius 12 cm is melted down to form a cylinder of the same height. what is the radius of the cylinder
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since the cone is melted to form cylinder and their is no net increase or decrease in the material used the volume of cone will be equal to volume of cylinder.
also their height is also equal i.e.=20cm
radius of cone =12cm
radius of cylinder=?
let radius of cylinder be R cm
volume of cone = volume of cylinder
1/3πr^2h = πR^2h
1/3r^2 = R^2
1/3×12×12 = R^2
4×12 = R^2
√4×12 = R
4√3 = R
√3= 1.732
therefore R=4×1.732
R = 6.928cm
also their height is also equal i.e.=20cm
radius of cone =12cm
radius of cylinder=?
let radius of cylinder be R cm
volume of cone = volume of cylinder
1/3πr^2h = πR^2h
1/3r^2 = R^2
1/3×12×12 = R^2
4×12 = R^2
√4×12 = R
4√3 = R
√3= 1.732
therefore R=4×1.732
R = 6.928cm
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