a 20 cm nail just fits inside a cylindrical can. three identical spherical balls need to fit entirely within the can. what is the maximum radius of each ball?

Answers

The maximum radius of each ball is 3.33 cm.

What is a Cylinder?

A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.

A 20 cm nail perfectly fits the cylinder.

So the height of the cylinder = 20cm.

A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.

If 3 spheres have to be fitted inside the cylinder,

The sum of the diameter of the spheres will be equal to the height of the cylinder.

The spherical balls are identical and so will have the same diameter

Let the maximum diameter of the sphere that can fit in the cylinder is d cm

Then,

d + d + d = 20

3d = 20

d = 20/3 = 6.67 cm

r = 3.33 cm

The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.

maximum radiusof each ball is 3.33 cm.## What is a Cylinder?

cylinderis a three-dimensional figure which is made of two parallelcircular basesseparated at a certain distance by acurvedsurface of the same radius as that of the bases.cylinder.cylinder= 20cm.sphereis a three-dimensionalgeometrical figureanalogous to acircle. All the points of thesphereare at the same distance from the center.sphereshave to be fitted inside thecylinder,sumof thediameterof thesphereswill be equal to the height of thecylinder.spherical ballsare identical and so will have the samediametermaximum diameterof thespherethat can fit in thecylinderis d cmmaximum radiusthat thespherescan have to fit in thecylinderis 3.33 cm.Cylinder