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.

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1 year ago

A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth o

kolezko [41]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
sin 70°=opposite side angle 70°/hypotenuse

in this problem
opposite side angle 70°=AB
hypotenuse=AC----> 32 ft
sin 70°=AB/32------> AB=32*sin 70°-----> AB=30.07 ----> AB=30.1 ft