Respuesta :
Answer:
The new pressure is 4.27 pounds
Step-by-step explanation:
In this question, we have the volume varying inversely as the pressure;
Firstly, let's say the volume is V and the pressure is P
Mathematically;
V ∝ 1/P
Let us insert a constant of proportionality K
⇒ VP = K
Let's calculate the value of K
K = 32[tex]cm^{3}[/tex] × 8 = 256 [tex]cm^{3} pounds[/tex]
Now in the second scenario, pressure is unknown but we know the volume to be 60[tex]cm^{3}[/tex]
Recalling; VP = K
P = K/V = 256 [tex]cm^{3} pounds[/tex]/60[tex]cm^{3}[/tex] = 4.27 pounds
Answer:
4.2667 pounds.
Step-by-step explanation:
To solve this problem, as the measures are inversely proportional, we can use an inverse rule of three (that is, we multiply the lines instead of dividing). So, for the volume of 32 cm3, we have a pressure of 8 pounds, so for a volume of 60 cm3, we have that:
32 cm3 -> 8 pounds
60 cm3 -> x pounds
32 * 8 = 60 * x
x = 32 * 8 / 60 = 4.2667 pounds.
