Question

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)

Answer 1

358,000,000 BTU's.

Explanation:

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...

`V =(4)/(3) \pi r^3\\V=(4)/(3) (3.14159)5^3\\V=4.18878667(125)\\V=523.6`

So the volume is 523.6 cubic ft!

To convert this to gallons...

`\\1 ft^3 = 7.48052 gal\\523.6 ft^3 = 3916.8 gallons`

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

`3916.8*91500=358387200`

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