a water tank is in the shape of a cylinder with the diameter of 29 feet and a height of 20 feet. the tank is 70% full. about how many gallons of water arein the tank? round your answer to the nearest whole number(1 ft 3 squared = 7.5 gal)

Respuesta :

aight, so you do base times height for the volume. the volume would be the tank at 100% capacity, right? What you do then is you can express the percent as a fraction, 7/10. Then, all that's left is divide by 10, multiply by 7. After that, you then just use your scale factor to convert cubic feet to gallons.
70%=0.7 70% of volume=0.7V volume=hpir^2 2r=d d/2=r d=29 29/2=r=14.5 h=20 amount of water=0.7*20*pi*14.5^2= amount=14pi*210.25 amount=2943.5pi that is how many ft^3 there is multiplyb 7.5 to find gallons 2943.5pi*7.5=22076.25pi aprox pi=3.14 22076.25*3.14=69319.425 round to nearest whole 69,319 gallons
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