A spherical water tank has a diameter of 10 feet. How much water does it hold when half full? (Use 3.14 for p)
the formula for the volume of a sphere is (4/3)pie r^3
So, (4/3) * 3.14 * r^3
to find the radius, divide the diameter by 2, so it has a readius of 5 ft
Now, plug in the numbers to the formula and solve. That is the answer for the volume of that sphere. NOW, you want to know what it is when 1/2 full, so just divide by 2 to get your answer for this problem
P.S. - remember order of operatins when solving! :)
To find the volume of the water tank when it is half full, we need to calculate the volume of a hemisphere, as the tank is spherical.
The formula for the volume of a sphere is:
V = (4/3) * π * r^3
However, since we only want half of the sphere, we need to divide the formula by 2:
V_half = (1/2) * (4/3) * π * r^3
Given that the diameter of the water tank is 10 feet, the radius (r) can be calculated by dividing the diameter by 2:
r = 10 feet/2 = 5 feet
Now we can substitute the values into the formula:
V_half = (1/2) * (4/3) * 3.14 * (5 feet)^3
Simplify the expression:
V_half = (1/2) * (4/3) * 3.14 * 125 cubic feet
Multiply the fractions:
V_half = (2/6) * 3.14 * 125 cubic feet
Simplify further:
V_half = (1.04) * 125 cubic feet
Finally, calculate the volume:
V_half = 130 cubic feet
Therefore, the spherical water tank holds 130 cubic feet of water when it is half full.