Question

A machine part consist of a half sphere and a cylinder, as shown in the figure.the total volume of the part is blank pi c

Answer 1

Answer:

Volume of the machine part = 114π inches³

Step-by-step explanation:

Volume of the machine part = Volume of cylinder + Volume of hemisphere

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

Where r = radius of the cylinder

h = height of the cylinder

Volume of the cylinder = $\pi(\frac{6}{2})^{2}(12)$

                                      = 108π inches³

Volume of the hemisphere = $\frac{2}{3}\pi r^{3}$

                                             = $\frac{2}{3}\pi (3)^{3}$

                                             = 6π inches³

Total area of the machine part = 108π + 6π

                                                   = 114π inches³