Harry pours 650 cubic centimeters of water into cylindrical glasses with a diameter of 10 centimeters.He then pours the water from the first glass to another cylindrical glass with a diameter of 8cm.  How much higher did the water reach in the second glass than in the first glass?Round to the nearest tenth of a centimeter

First, we need to find the height of the water in the first glass. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

The radius of the first glass is half the diameter, so r = 10cm / 2 = 5cm.

We can rearrange the formula to solve for h: h = V / (πr²).

Substituting the given values, we get h = 650cm³ / (π * (5cm)²) = 650cm³ / 78.5cm² = 8.3cm.

Next, we find the height of the water in the second glass. The radius of the second glass is 8cm / 2 = 4cm.

Using the same formula, we get h = 650cm³ / (π * (4cm)²) = 650cm³ / 50.24cm² = 12.9cm.

Finally, we subtract the height of the water in the first glass from the height in the second glass to find the difference: 12.9cm - 8.3cm = 4.6cm.

So, the water reached 4.6cm higher in the second glass than in the first glass.

First, we need to find the height of the water in the first glass. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

The radius of the first glass is half the diameter, so r = 10cm / 2 = 5cm.

We can rearrange the formula to solve for h: h = V / (πr²).

Substituting the given values, we get h = 650cm³ / (π * (5cm)²) = 8.3cm.

Next, we find the height of the water in the second glass. The radius of the second glass is 8cm / 2 = 4cm.

Using the same formula, we get h = 650cm³ / (π * (4cm)²) = 12.9cm.

Finally, we subtract the height of the water in the first glass from the height of the water in the second glass to find the difference: 12.9cm - 8.3cm = 4.6cm.

So, the water reached 4.6cm higher in the second glass than in the first glass.