The tank shown is a cylinder with diameter equal to 4 feet and height equal to 12 feet. the tank holds 1130 gallons of rainwater when full. how many gallons of water are in the tank when the depth of the water is 9 feet?
step 1 find the volume of the tank with deep 9 ft volume of the tank with deep 9 ft=pi*r²*h r=4/2-----> 2 ft h=9 ft volume of the tank with deep 9 ft=pi*2²*9-----> 113.04 ft³
step 2 convert to gal 1 ft³------------------> 7.48052 gal 113.04 ft³--------> x x=113.04*7.48052-----> x=845.60 gal
the answer is 845.60 gal
alternative method
if the volume of the tank is 1130 gal for ----------> a height of 12 ft X volume-----------------------------------> 9 ft x=9*1130/12-----> 847.5 gal
