We know from the condition that the radius of the ball is 3 cm, and the height of the sector is 1 cm.
In order to calculate the volume of a sector of a sphere, we will apply the formula:
V = 2/3 * π * R ^ 2 * h,
where R is the radius of the sphere and h is the height of the sector.
We have all the values to carry out the calculation, so we just need to substitute them in the formula for calculating the volume of the sector of the ball and make the calculations.
So, we substitute R = 3 cm, h = 1 cm, the number n is a constant 3.14:
V = 2/3 * π * 3 ^ 2 * 1 = 1/3 * 3.14 * 9 * 1 = 9.42.
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