Question

4. A cylindrical hole is drilled through a wooden block that is in the shape of a rectangular prism. Find thevolume of the resulting solid. (3pts)||3 cm10.5 cmI15 cm12.4 cm

Answer 1

Question:

Solution:

Notice that the volume of the prism is:

`V1\text{ = }whl\text{ = (12.4) x (10.5) x (15) = 1953}`

on the other hand, the volume of the cylinder is:

`V_2=\pi r^2h=\pi(3^2)15=135\pi\approx424.1_{}`

now, we know the following formula

The volume of the resulting solid=Volume of prism - volume of cylithe nder. Then

, the correct answer is:

`V=V_1-V_2\text{ = 1953-424.1 = }1528.88`

thus, the correct answer is:

`V=\text{ }1528.88`