Answer:
73.2 cm³
Explanation:
The volume of the cylinder without the prism is V" = volume of cylinder, V' - volume of rectangular prism, V
Volume of cylinder = πr²h where r = radius of cylinder = 2 cm and h = height of cylinder = 6 cm.
So, V = πr²h
= π(2 cm)²(6 cm)
= π × 4 cm² × 6 cm
= 24π cm³
= 75.4 cm³
V = volume of rectangular prism = Area of 0.6 cm square × height = L²h where L = 0.6 cm and h = height of rectangular prism = 6 cm.
So, V = L²h = (0.6 cm)² × 6 cm = 2.16 cm³
volume of the cylinder without the prism is V" = V' - V
= 75.4 cm³ - 2.16 cm³
= 73.24 cm³
≅ 73.2 cm³