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.
12= pi *(3/2)^2* h
h=16/3pi
h=1.6 inches
nope, 12 fluid ounces is not cubic inches.
To find out how tall a glass needs to be to hold 12 ounces, we can use the formula for the volume of a right circular cylinder, which is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
First, we need to convert the diameter of the glass to its radius. The radius is half the diameter, so in this case, the radius (r) would be 3 inches / 2 = 1.5 inches.
Next, we need to find the height (h) that will result in a volume of 12 ounces. Since 1 fluid ounce is equivalent to 1.80469 cubic inches, we can set up the equation:
12 ounces * 1.80469 cubic inches/ounce = π * (1.5 inches)^2 * h
Simplifying this equation, we have:
12 * 1.80469 = 3.14159 * 1.5^2 * h
21.65628 = 7.06858 * h
Dividing both sides of the equation by 7.06858, we find:
h = 21.65628 / 7.06858
h ≈ 3.065 inches
Therefore, the glass would need to be approximately 3.065 inches tall to hold 12 ounces.