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Jeremiah has a mailing cylinder for posters that measures 12 inches long and 8 inches in diameter. What approximate volume can it hold? Use 3.14 for pi. Do not round. SHOW YOUR WORK.

2 Answers

4 votes

Answer:

6.8 with a sum of 09.28282

Step-by-step explanation:

To find the approximate volume of the mailing cylinder for posters, we can use the formula for the volume of a cylinder, which is given by:

Volume of cylinder = π * r^2 * h

where π is the mathematical constant pi, r is the radius of the cylinder, and h is the height of the cylinder.

Given that the diameter of the cylinder is 8 inches, we can find the radius by dividing the diameter by 2:

Radius (r) = Diameter / 2 = 8 inches / 2 = 4 inches

Given that the length of the cylinder is 12 inches, we can use these values to calculate the approximate volume:

Volume of cylinder = 3.14 * (4 inches)^2 * 12 inches

Volume of cylinder = 3.14 * 16 square inches * 12 inches

The volume of cylinder = 603.36 cubic inches

So, the approximate volume of the mailing cylinder for posters is 603.36 cubic inches.

hope it helps!!!

User Henrik Carlqvist
by
8.1k points
3 votes

Answer:

603.36 cubic inches.

Explanation:

To find the approximate volume of the mailing cylinder for posters, we can use the formula for the volume of a cylinder, which is given by:

Volume of cylinder = π * r^2 * h

where π is the mathematical constant pi, r is the radius of the cylinder, and h is the height of the cylinder.

Given that the diameter of the cylinder is 8 inches, we can find the radius by dividing the diameter by 2:

Radius (r) = Diameter / 2 = 8 inches / 2 = 4 inches

Given that the length of the cylinder is 12 inches, we can use these values to calculate the approximate volume:

Volume of cylinder = 3.14 * (4 inches)^2 * 12 inches

Volume of cylinder = 3.14 * 16 square inches * 12 inches

Volume of cylinder = 603.36 cubic inches

So, the approximate volume of the mailing cylinder for posters is 603.36 cubic inches.

User Extrabacon
by
7.9k points