The volume of the cylindrical tank is the amount of space in it
The volume of the larger tank is 800 gallons
The volume of the small tank is given as:
v = 100
The volume of a cylinder is:
v = πr²h
For the bigger tank, we have:
V = πR²H
The dimensions are twice the smaller tank. This gives
V = π(2r)² * (2h)
Expand
V = 8πr²h
Substitute v = πr²h in V = 8πr²h
V = 8v
Substitute v = 100 in V = 8v
V = 8 * 100
V = 800
Hence, the volume of the larger tank is 800 gallons
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