Explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr^2h
We are given that the diameter of the cylinder is 8 cm, so the radius is half of that, or 4 cm. We are also given that the volume is 48 cubic cm. Substituting these values into the formula, we get:
48 = π(4 cm)^2h
Simplifying:
48 = 16πh
3 = πh
h = 0.955 cm
Therefore, the height of the cylinder is approximately 0.955 cm