Question

Help me with this thanks​

Answer 1

Answer:

Volume of composite is 483  $mm^3$

Step-by-step explanation:

We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):

Volume of the prism = 7 x 12 x 3 $mm^3$  = 252 $mm^3$

Volume of the semi-cylinder =  $\frac{\pi\,\,R^2\,\,H}{2} = \frac{\pi\,\,(3.5)^2\,\,(12)}{2} =230.907 \,\,mm^3$

Therefore the sum of both volumes gives:

(252 + 230.907) $mm^3$ = 482.907  $mm^3$

WHich can be rounded to the nearest whole number as: 483 $mm^3$