A spherical tank contains 81.637 gallons of water at timet=0 minutes. For the next 6 minutes, water flows out ofthe tank at the rate of 9sin square root(t+1) gallons per minute. How many gallonsof water are in the tank at the end of the 6 minutes?

Respuesta :

for t =6 min  v = 9sin square root(6+1) =9sin square root(7) = 0.41
      t=0 min  v = 9sin square root(1)= 0.15

so for 0.15 gal/ min----------81.637 
          
0.41 gal/ min-----------X =?

X = 0.41 * 81.63  / 0.15 =223.12 gallons of water