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TiliK225 [7]
4 years ago
7

A cylindrical tank has a diameter of 10 and a height of 7 feet. If each cubic foot holds 7.48 gallons of water, how many gallons

of water does the tank hold?
Mathematics
1 answer:
sergey [27]4 years ago
7 0

Answer:

The tank can hold 4110.26 gallons of water.

Step-by-step explanation:

In order to solve this question we need to compute the volume of this tank, the volume is given by:

V = (area of the base)*height

Since the base is circullar, it is given by:

area of the base = pi*r^2

So we have:

V = height*pi*r^2

The radius of circle is the diameter divided by 2, so in this case r = 10/2 = 5 ft. We can now use the values on the equations:

V = 7*3.14*(5)^2 = 549.5 ft^3

Since each cubic foot holds 7.48 gallons of water the volume in gallons is:

V = 549.5*7.48 = 4110.26 gallons

The tank can hold 4110.26 gallons of water.

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