you have a full cylindrical glass of water that stands8inches tall and has a radius of1.5inches.if you pour the water into a larger cylindrical glass that stands12tall and has a radius of2.5inches,howmuchmore water would the larger glass be able to hold?nearest hundredth.
multiply the height, and the diameter (radius(2)), then subtract the larger glass from the smaller glass.
179.07 cubic inches
To find out how much more water the larger cylindrical glass can hold, we need to calculate the volume of each glass and then compare the difference.
The volume of a cylinder is given by the formula: V = π * r^2 * h, where r is the radius and h is the height.
For the first glass:
Radius (r1) = 1.5 inches
Height (h1) = 8 inches
V1 = π * (1.5)^2 * 8
Now, let's calculate the volume of the first glass:
V1 = 3.14 * 2.25 * 8
V1 = 56.52 cubic inches
For the second glass:
Radius (r2) = 2.5 inches
Height (h2) = 12 inches
V2 = π * (2.5)^2 * 12
Now, let's calculate the volume of the second glass:
V2 = 3.14 * 6.25 * 12
V2 = 235.62 cubic inches
To find out how much more water the larger glass can hold, we subtract the volume of the first glass from the volume of the second glass:
Difference = V2 - V1
Difference = 235.62 - 56.52
Difference ≈ 179.10 cubic inches
Therefore, the larger glass can hold approximately 179.10 cubic inches more water.
To find out how much more water the larger glass can hold, we need to find the difference in volumes between the two glasses.
The volume of a cylindrical glass can be calculated using the formula V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius, and h is the height.
First, let's calculate the volume of the original glass:
V1 = π * (1.5^2) * 8
V1 ≈ 3.14 * 2.25 * 8
V1 ≈ 56.52 cubic inches
Next, let's calculate the volume of the larger glass:
V2 = π * (2.5^2) * 12
V2 ≈ 3.14 * 6.25 * 12
V2 ≈ 235.62 cubic inches
To find the difference, we subtract the volume of the original glass from the volume of the larger glass:
Difference = V2 - V1
Difference ≈ 235.62 - 56.52
Difference ≈ 179.10 cubic inches
Therefore, the larger glass can hold approximately 179.10 cubic inches more water.