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 ...?

Question

Mathematics

Steele

20 April, 00:25

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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Answers (1)

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Dana · Answer 1

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.