1 point A designer wants to make use of a halfspherical cist

(1 point) A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of 8 feet, how many gallons of water can it hold

(answer in us gallons)

Solution

volume of half sphere =(2/3)r³, where r is radius

given cistern has a diameter of 8 feet=> radius =8/2 =4 feet

volume of half-spherical cistern =(2/3)4³

volume of half-spherical cistern =(128/3)

volume of half-spherical cistern =130 ft³

1ft³=7.48052 gallons

number of gallons of water it can hold =130*7.48=1002.7 gallons