Cone
The volume of a cone is \( {\textstyle{1 \over 3}}\) the volume of a cylinder with the same radius and height. Use this formula to find the volume of a cone: Volume of cone \( = {\textstyle{1 \over 3}}× pi × radius \thinspace squared × height \) or \(V = {\textstyle{1 \over 3}}\pi {r^2}h\)
To the nearest cubic centimeter, what is the volume of an inverted cone that has a radius of 4 cm and a height of 9 cm?
Step 1: Find the facts you need. As stated, the radius is 4 centimeters and the height is 9 centimeters.
Step 2: Use the formula to calculate your answer: \( \begin{array}{l}V = {\textstyle{1 \over 3}}\pi {r^2}h\\ \;\;\;\; = {\textstyle{1 \over 3}}\,\,\times \,\,3.14\,\,\times \,\,{4^2}\times \,\,9\\\;\;\;\; = \,\,{\textstyle{1 \over 3}}\,\,\times\,\,3.14\,\,\times \,\,16\,\,\times \,\,9\\ \;\;\;\;=\,\,{\textstyle{1 \over 3}}\,\,\times\,\,452.16\\ \;\;\;\;= \thinspace 150.72\;{\rm{ cm}}^3\end{array}\)
Step 3: Round to the nearest cubic centimeter.
Answer: 150.72 rounds to \(151\;{\rm{cm}}^3\)
