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 answer

To find the height of 1 can, we first need to calculate the volume of 1 can.

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

Given that the radius of each can is 4 inches, we can calculate the volume of each can:

V = π(4)^2h
V = 16πh

Since Michealla has 20 cans, the total volume of all the cans is 20 times the volume of 1 can:

Total volume = 20 * 16πh
12,057.6 = 20 * 16πh
12,057.6 = 320πh
h = 12,057.6 / (320π)
h ≈ 12,057.6 / 1005.36
h ≈ 12 inches

Therefore, the height of 1 can is approximately 12 inches.