Question

The volume of a right circular cylinder is 27,355.68 mm3. Find the height of the cylinder if the radius is 22 mm. Use 3.14 for π.(1 point)

mm

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

Given that the volume is 27,355.68 mm^3 and the radius is 22 mm, we can plug these values into the formula:

27,355.68 = 3.14 * 22^2 * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1522.56 * h
h = 27,355.68 / 1522.56
h = 18 mm

Therefore, the height of the cylinder is 18 mm.

Answer 2

Michealla has 20 cans of tomato sauce with a combined volume of 12,057.6 inches3 . If each can has a radius of 4 inches, find the height of 1 can. Use 3.14 for π .(1 point)

inches

Answer 3

[AI-generated answer — Bot GPT 3.5]

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

Given that there are 20 cans with a combined volume of 12,057.6 inches^3 and each can has a radius of 4 inches, we can first find the volume of one can and then use that information to find the height of one can.

Volume of one can = Total volume / Number of cans
Volume of one can = 12,057.6 / 20
Volume of one can = 602.88 inches^3

Now, we can plug the radius (r = 4 inches) and the volume of one can into the formula:

602.88 = 3.14 * 4^2 * h
602.88 = 3.14 * 16 * h
602.88 = 50.24 * h
h = 602.88 / 50.24
h = 12 inches

Therefore, the height of one can of tomato sauce is 12 inches.