One gallon of propane yields approximately 91,500 BTU. About how many BTUs does the spherical storage tank shown provide? Round to the nearest million BTUs.
(Hint: 1 ft³ ≈ 7.48 gal)

Given that the radius is equal to 5 ft. and we need to find the volume of sphere~we can use the following formula. Additionally, we will use 3.14159 to be more accurate in this case...

[tex]V =\frac{4}{3} \pi r^3\\V=\frac{4}{3} (3.14159)5^3\\V=4.18878667(125)\\V=523.6[/tex]

So the volume is 523.6 cubic ft!

To convert this to gallons...

[tex]\\1 ft^3 = 7.48052 gal\\523.6 ft^3 = 3916.8 gallons[/tex]

The final step is to multiply this amount by the original 91,500 BTU, when we do this we get...

[tex]3916.8*91500=358387200[/tex]

The nearest million from this number is 358,000,000!

One gallon of propane yields approximately 91,500 BTU. About how many BTUs does the spherical storage tank shown provide? Round to the nearest million BTUs. (Hint: 1 ft³ ≈ 7.48 gal)

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One gallon of propane yields approximately 91,500 BTU. About how many BTUs does the spherical storage tank shown provide? Round to the nearest million BTUs.
(Hint: 1 ft³ ≈ 7.48 gal)