Question

A balloon is a sphere with a radius of 5.0 m. The force of air against the walls of the balloon is 45 N. What is the air pressure inside the balloon? Surface area = 12.56 × radius² 1 Pa = 1 N/m² How would I solve this problem? What are the steps or a good way to remeber how to solve?

Answer 1

0.127 N/m² or 0.127 Pa

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 m

Force (F) = 40 N

Pressure (P) =.?

Next, we shall determine the Surface area of the sphere (i.e the balloon). This can be obtained as follow:

Surface area = 12.56 × r²

Radius (r) = 5 m

Surface area = 12.56 × 5²

Surface area = 12.56 × 25

Surface area = 314 m²

Finally, we shall determine the pressure as follow:

Force (F) = 40 N

Surface area = 314 m²

Pressure (P) =.?

Pressure = Force /Area

Pressure = 40/314

Pressure = 0.127 N/m² = 0.127 Pa

Therefore, the pressure inside the balloon is 0.127 N/m² or 0.127 Pa.