Respuesta :

Answer:

Volume of composite is 483  [tex]mm^3[/tex]

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 [tex]mm^3[/tex]  = 252 [tex]mm^3[/tex]

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

Therefore the sum of both volumes gives:

(252 + 230.907) [tex]mm^3[/tex] = 482.907  [tex]mm^3[/tex]

WHich can be rounded to the nearest whole number as: 483 [tex]mm^3[/tex]