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Scilla [17]
3 years ago
7

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

Mathematics
1 answer:
ankoles [38]3 years ago
3 0

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

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