ichaella 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)

Answer 1

We start by finding the volume of one can of tomato sauce using the formula for the volume of a cylinder:

V = πr^2h

where
V = volume,
r = radius,
h = height.

Given that each can has a radius of 4 inches:
r = 4 inches

Since we know the total volume of the 20 cans is 12,057.6 inches^3, we can find the volume of one can by dividing the total volume by the number of cans:
V_one_can = total_volume / number_of_cans
V_one_can = 12,057.6 / 20
V_one_can = 602.88 inches^3

Now we substitute the known values into the volume formula and solve for h (height):
602.88 = 3.14 * 4^2 * h
602.88 = 3.14 * 16 * h
602.88 = 50.24h
h = 602.88 / 50.24
h = 12 inches

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