Answer:
The volume of the cylinder is 1,728·π cm³
Step-by-step explanation:
The given parameters are;
The radius of the cylinder, r = 12 cm
The location of the hemisphere = Inside the cylinder
The size relationship between the hemisphere and the cone = Snuggly fit
Therefore, we have;
The radius of the hemisphere = The radius of the cylinder = 12 cm
The height of the cylinder, h = The radius of the hemisphere = 12 cm
The volume of the cylinder, V = π·r²·h
Where;
h = 12 cm
r = 12 cm
Therefore;
V = π·r²·h = π × (12 cm)² × 12 cm = (12 cm)³·π = 1,728·π cm³
The volume of the cylinder, V, in terms of pi (π) is, V = 1,728·π cm³.
