A spherical water tank has a diameter of 10 feet. How much water does it hold when half full (use 3.14 for , and round to the nearest hundredth)?
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Emma is installing a new tile floor. Each tile measures 12 inches by 12 inches. The room in which she is installing the tiles measures 14 feet by 10 feet. If each tile costs $1.25, how much will it cost Emma to complete her project?
14 * 10 * $1.25 = ?
175
To find the volume of a spherical water tank, we'll need to use the formula for the volume of a sphere:
V = (4/3) * π * r³
Where V is the volume, π is a mathematical constant approximately equal to 3.14, and r is the radius of the sphere.
Given that the diameter of the water tank is 10 feet, we can find the radius by dividing the diameter by 2:
r = 10 feet / 2 = 5 feet
Now we can substitute the value of the radius into the volume formula:
V = (4/3) * 3.14 * (5 feet)³ = (4/3) * 3.14 * (5^3) = (4/3) * 3.14 * 125 = (4/3) * 392.5 = 523.33
The volume of the spherical water tank is approximately 523.33 cubic feet.
To find how much water the tank holds when half full, we need to divide the volume by 2:
Half Volume = 523.33 cubic feet / 2 = 261.665 cubic feet
So, the spherical water tank holds approximately 261.67 cubic feet of water when half full.