A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of 6.5 feet, how many gallons of water can it hold?

Question

campbell_st · Answer

well the volume of a sphere is 

$$V = \frac{4}{3} \pi r^3$$

you know r = 6.5 ft

so the volume of a half sphere is found by dividing the volume calculated above by 2. 

then convert cubic feet to capacity... gallons...  1ft^3 = 7.48052 gal

goformit100 · Answer

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