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A spherical gas tank has a 10 foot diameter when filled with propane it provides 358,000,000 BTUs how many BTUs does 1 cubic foot of propane yield? Round to the nearest thousand

Respuesta :

CastleRook
Volume of the spherical tank will be given by:
V=4/3πr³
thus the volume of the tank will be:
V=4/3×π×(10/2)³=523.59877756~523.6 ft³
Given that 523.6 ft³ can hold 358,000,000 BTUs of propane, the amount that 1 ft³ will be given by:
[total amount]/[total volume]
=358,000,000/523.6
=683,728.0367 BTUs/ft³
=684,000 BTUs/ft³ (in thousand)

The number of BTUs does 1 cubic foot of propane yield is 684,000 BTUs/ft³ (in thousand)

Calculation of the number of BTUs:

Since we know that

The volume of the spherical tank is

[tex]V=4\div 3\pi r^3[/tex]

Now the volume of the tank will be:

[tex]V=4\div 3\times \pi \times (10/2)^3[/tex]

=523.59877756

= 523.6 ft³

Now the number should be

= [total amount] ÷ [total volume]

=358,000,000 ÷ 523.6

=683,728.0367 BTUs/ft³

= 684,000 BTUs/ft³ (in thousand)

Therefore, The number of BTUs does 1 cubic foot of propane yield is 684,000 BTUs/ft³ (in thousand)

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