Question

Consider this composite figure.

Answer 1

Given:

Height of top cone = 3 mm

Radius = 2 mm

Height of cylinder = 4 mm

Height of bottom cone = 1 mm

To find:

The volume of the composite figure

Solution:

Volume of 3 mm tall cone $=\frac{1}{3} \pi r^2h$

                                           $=\frac{1}{3} \pi \times 2^2\times 3$

Volume of 3 mm tall  cone = 4π mm³

Volume of cylinder = $\pi r^{2} h$

                                $=\pi\times 2^{2} \times 4$

Volume of cylinder = 16π mm³

Volume of 1 mm tall cone $=\frac{1}{3} \pi r^2h$

                                           $=\frac{1}{3} \pi \times 2^2\times 1$

Volume of 1 mm tall  cone = 1.33π mm³

Volume of composite figure = 4π + 16π + 1.33π

                                                = 21.33π mm³

The volume of the composite figure is 21.33π mm³.