A coffee can has a volume of 137.375 cubic inches and a height of 7 inches. Find the circumference of this coffee can.

7 * pi *r^2 = 137.375

so
r = sqrt (137.375/[7 pi])
then
C = 2 pi r

i don't know the answer . can anyone help me . please

To find the circumference of the coffee can, we need to know the value of the radius because the formula for circumference involves the radius.

We are given the volume of the coffee can, which is 137.375 cubic inches. However, the volume of a coffee can is not directly related to its circumference. The volume of a cylinder (such as a coffee can) is calculated by multiplying its base area by its height.

In this case, we are given the height of the coffee can, which is 7 inches. However, we still need to find the radius to calculate the base area.

The formula for the volume of a cylinder is:
Volume = π * r^2 * h

Where:
π (pi) is a constant approximately equal to 3.14159265
r is the radius of the cylinder
h is the height of the cylinder

Since we are given the volume (137.375 cubic inches) and the height (7 inches), we can rearrange the formula to solve for the radius:

137.375 = π * r^2 * 7

To find the radius, we need to isolate it on one side of the equation. Let's divide both sides of the equation by (π * 7):

137.375 / (π * 7) = r^2

Now, let's calculate the right-hand side of the equation:

137.375 / (π * 7) ≈ 2.954729703

Taking the square root of both sides gives:

√(137.375 / (π * 7)) ≈ 1.71875

So the approximate radius of the coffee can is 1.71875 inches.

Finally, we can find the circumference using the formula:
Circumference = 2 * π * r

Plugging in the radius we just calculated:

Circumference ≈ 2 * π * 1.71875

Calculating the right-hand side gives:

Circumference ≈ 10.77894228

Therefore, the approximate circumference of the coffee can is 10.77894228 inches.