How tall would a glass (in the shape of a right circular cylinder)with a diameter of 3 inches need to be to hold 12 ounces.

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To find out how tall the glass would need to be in order to hold 12 ounces, we can use the formula for the volume of a right circular cylinder. The volume of a cylinder is given by the formula:

V = πr^2h

where V is the volume, r is the radius of the base, and h is the height.

First, we need to find the radius. The diameter is given as 3 inches, so the radius (r) is half the diameter, which is 3/2 = 1.5 inches.

Next, we rearrange the formula to solve for h:

V = πr^2h

Since we know the volume (12 ounces) and the radius (1.5 inches), we substitute these values into the formula:

12 = π(1.5^2)h

Simplifying further:

12 = π(2.25)h

Divide both sides of the equation by π(2.25):

12 / (π(2.25)) = h

To find the height, we need to evaluate the expression on the right-hand side. Using a calculator, we get:

h ≈ 2.679 inches

Therefore, the glass would need to be approximately 2.679 inches tall to hold 12 ounces.