An oil company is considering adding a more environmentally friendly grade of fuel at its service stations. To do this, an additional 3600-gallon tank must be buried at each station. Discussions with tank fabricators indicate that the least expensive tank would be cylindrical with minimum surface area. What size tank should be ordered

Given number of gallon tank = 3600

We have to find the size of tank that should be ordered.

Step-by-step explanation:

Since we know that, 1 gallon = 0.133681 ft^3

3600 gallons = 481.25 ft^3

Volume = πr^2 h

πr^2 h = 481.25

h = 481.25 / πr^2

Surface are = 2πrh + 2πr^2

Now insert values, A = 2πr (481.25 / πr^2) + 2πr^2

A = 2πr (481.25 / πr^2) + 2πr^2

A = 962.5 / r + 2πr^2

For minimum surface area.

dA / dr = 0

962.5 / r^2  + 4πr = 0

962.5 / r^2  = 4πr

962.5 = 4πr^3

r^3 = 76.56

r = 4.25

The radius of cylinder = 4.25 ft

Height = 481.25 / πr^2

Height = 481.25 / π(4.25)^2

Height = 8.48 ft.

step-by-step explanation:

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the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.