Question

A solid wooden post in the shape of a right rectangular prism measuring 10 cm by 12 cm by 30 cm is drilled with a cylindrical hole of radius 2 cm. Find the volume of the post after the hole has been drilled. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)

Answer 1

Given:

Dimension of the right rectangular prism: 10 by 12 by 30

radius of the cylinder = 2cm

The volume of the post after the hole has been drilled can be found using the formula:

$\begin{gathered} Volume\text{ = Volume of the right-rectangular prism - volume of cylinder} \\ =\text{ whl - }\pi r^2h \end{gathered}$

Where

w is the width

h is the height , l is the length, r is the radius

Substituting the given values:

$Volume\text{ = 10 }\times\text{ 12}\times30\text{ - }\pi\times2^2\times30$

Simplifying we have:

$Volume\text{ = 3223.01 cm}^3$

Answer:

Volume = 3223.01 cubic cm