The air from the Magdeburg hemispheres was evacuated to a pressure of 1.06 kPa.

The air from the Magdeburg hemispheres was evacuated to a pressure of 1.06 kPa. The radius of the hemispheres is 0.5 m. What force must be applied to break the hemispheres? Atmospheric pressure 102 kPa.

Let’s write down the formula for finding the area of a sphere:
S = 4p * r * r;
Substitute in the formula and solve:
S = 4 * 3.14 * 0.5 * 0.5;
S = 3.14 m².
Now you need to find the pressure difference: 102 – 1.06 = 100.94 kPa.
Then we find the force: 3.14 m2 * 100940 Pa = 316952 N.
Answer: It will be necessary to apply a force equal to 316952 N.