A block of wood in the shape of a rectangular prism has length 4\mathrm{~cm}^2 , width 4\mathrm{~cm}^2 , , and height 7\mathrm{~cm}^2 , . A cylindrical hole with radius 1\mathrm{~cm}^2 , is drilled through the centre, as shown.
To the nearest \mathrm{cm}^3, what is the volume of the block of wood after the hole is drilled? (Note: The volume of a cylinder with radius r and height h is \pi r^2 h.)
Answer Choices
A. 90 \mathrm{~cm}^3
B. 122 \mathrm{~cm}^3
C. 106 \mathrm{~cm}^3
D. 84 \mathrm{~cm}^3
E. 92 \mathrm{~cm}^3