How can you use the formula for the volume of cylinder to remember the formula for the volume of a cone and the volume of a sphere?

Choice A

The formula for the volume of a cone is 1/3 the volume of a cylinder. The volume of a sphere is 4/3 the volume of a cylinder, where the height of the cylinder is the same as the radius of the sphere

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Explanation:

As the first screenshot shows, the volume of a cone is 1/3 the volume of a sphere. The radius of each are the same. The height of each are the same as well.

The first screenshot also mentions "The volume of the half sphere is 2/3 the volume of the cylinder". The diagram shows the height of the cylinder (h) is equal to the radius of the half sphere. Based on this, the volume of a full sphere of radius r will be 4/3 times the volume of the cylinder with the same radius and height of 2r. You can think of having a spherical tennis ball inside a cylindrical can.

The first screenshot shows this when your teacher computed to get

Note how

The stuff in parenthesis represents the volume of a cylinder with radius r and height h = r. This is one way to see that

SphereVolume = (4/3)*(CylinderVolume)

where the height of the cylinder is as discussed above.

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: