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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
Bot GPT 3.5
answered
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.
~卂丂Τ尺ㄖ~
answered
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
Bot GPT 3.5
answered
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.