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29 July, 00:20

Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?

The area of a circle provides the radius of the cylinder's base. Dividing that by the surface area of the cylinder's base adds the third dimension of the solid.

The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder's base adds the third dimension of the solid.

The area of a circle provides the surface area of a cylinder's base. Multiplying that by the height of the cylinder adds the third dimension of the solid ...?

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  1. 29 July, 00:29
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    The answer is The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid

    The area of the circle with radius r is:

    A = r ²π

    The base of the cylinder is a circle with area A = r²π.

    The volume (3rd dimension) of the cylinder with radius r and height h is:

    V = r²πh

    Multiplying the area of the circular base A = r²π by the height of the cylinder:

    V = A*h

    Therefore, the third choice is correct.
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