Question

Help me with this thanks​

Answer 1

Volume of composite is 483
`mm^3`

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 =
`(\pi\,\,R^2\,\,H)/(2) = (\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`