Question

A cylindrical glass with a radius of 2 inches and a height of 3 inches is filled completely with water. If all of the water is then poured into a cylindrical glass with a radius of 3, how high is the water in the glass? Use 3.14 for and round your answer to the nearest hundredth of an inch. ​

Answer 1

How do you find the volume of a cylindrical glass?

The formula for the volume of a cylinder is V = B h or V = π r 2 h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V = π r 2 h .

Step-by-step explanation:

Answer 2

The water in the second glass is approximately 1.33 inches high.

Step-by-step explanation:

To find the height of the water in the second glass, we need to use the formula for the volume of a cylinder, which is given by V = πr²h. First, let's find the volume of the first glass: V1 = π(2 in)²(3 in) = 12π in³. Since the glass is completely filled with water, the volume of the water is also 12π in³. Now, let's find the height of the water in the second glass by rearranging the formula: h2 = V2 / (πr²), where V2 is the volume of water poured into the second glass and r is the radius of the second glass. Substitute the values into the formula: h2 = 12π / (π(3 in)²) = 12 / 9 = 1.33 in. Therefore, the water in the second glass is approximately 1.33 inches high