Answer:
The answer is B) -29.
Step-by-step explanation:
(1 L)/(100 ft^2) * (800 m^2) * (0.26417205236 gal/L) * ((1 ft)/(0.3048 m))^2
≈ 22.75 gal
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The conversion from liters to gallons is accurate to the digits shown, but is not exact.
So we want to know the volume of a sphere in terms of pi if we know the area of the sphere is equal to A=9pi. So the area of the sphere is A=4*pi*r^2 and the volume V=(4/3)*pi*r^3. We can get the radius from the area: 9pi=4*pi*r^2 and we see the pi cancels out: 9=4*r^2. We divide by 4 and take the square root: r=sqrt(9/4)=3/2. So r=3/2 and we can input it into volume V.
V=(4/3)*(3/2)^3*pi=(4/3)*(27/8)*pi=(9/4)*pi.
So the volume of the sphere is V=(9/4)*pi cubic feet.
