Question

The figure is made up of a cylinder and 2 cones. What is the volume of the composite figure? Use 3.14 for r. Round to the

nearest hundredth.
4 mm
2 mm
5 mm
2 mm
Recall the formulas V=Bhand
mm3
​

Answer 1

The person above me is correct, it is 87.92

Explanation:

Doing the unit test review right now

Answer 2

87.92 mm³

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