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just do it regularly then divide the volume by four when you get the volume answer

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The original cone is say, 3 cm high and has a radius of 8 cm. the formula is pi times the radius squared times the hight, so pi*64*3=192pi. the second formula is 3*4 squared times pi, so 48pi, which is one fourth of 192 pi.

Q: What happens to the radius of a cone if a cone of say radius 8 cm is cut in half?

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It splits

it a cone cut in half from the top

If you cut the cone in half then drop a line from the point down to the centre of the base, you can then find the radius, which is the the base of one of the triangles you now have. You need to know one of the angles though, then work out the radius through trigonometry.

The volume becomes one eighth.

The radius is basically the diameter cut right in half so the radius' fraction would be 1/2 of the diameter

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It splits

it a cone cut in half from the top

it is cut down by a factor of four since it is proportional to square of radius

If you cut the cone in half then drop a line from the point down to the centre of the base, you can then find the radius, which is the the base of one of the triangles you now have. You need to know one of the angles though, then work out the radius through trigonometry.

The volume becomes one eighth.

the area of the original is 4 times the new value.

It is called a frustrum

You have to cut the sphere in half and then measure across.

The radius is basically the diameter cut right in half so the radius' fraction would be 1/2 of the diameter

Yes if cut in half from its apex to its base diameter.

magic

A cylinder and a cone have infinitely many planes of symmetry because of the circular face. However, a cylinder can also be cut in half lengthwise (imaging cutting a soda can in half), while a cone cannot (imagine cutting a ice cream cone in half). Therefore, a cylinder has one more plane of symmetry than a cone.