A cylindrical water tower is 24 feet high and has a diameter of 20 feet.Approximately how many cubic feet of water could the tower hold?

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Answer 1 · 2018-04-26T12:37:45

Because this question is asking how much water the water tower can hold, it's asking for the volume of a cylindrical figure. Let's use this formula:

#V# = #π##r^2##h#

First, let's find our variables by plugging in our information.

#r# = #(1/2)##d#
#r# = #(1/2)##20#
#r# = #10#

#h# = #24#

#V# = #π##(10^2)##(24)#

Following PEMDAS (Parentheses, Exponents, Multiply, Divide, Add, Subtract), we'll find #(10^2)# first.

#V# = #π##(100)##(24)#

Now, multiply (100) and (24):

#V# = #π##(2400)#

#V# = #2400πft^3# , or #~7539.8##ft^3#