Answer:
87.92 mm³
Step-by-step explanation:
The area of the base of the cylinder and cones is the same for all, the area of a circle of radius 2 mm:
B = π·r² = 3.14·(2 mm)² = 12.56 mm²
If we call the heights of the lower cone, cylinder, and upper cone h1, h2, and h3, respectively, then the total volume is ...
V = (1/3)Bh1 + Bh2 + (1/3)Bh3
Here is is convenient to factor out B and also 1/3, so we have ...
V = B(h2 + (1/3)(h1 +h3))
V = (12.56 cm²)·((5 +(2+4)/3) cm) = 7·12.56 cm³
V = 87.92 cm³
