• The volume of a cone can be found by using this formula:
[tex]V=\frac{\pi\cdot r^2\cdot h}{3}[/tex]Where "r" is the radius of the cone, and "h" is the height.
• Problem:
Find the volume of a cone that has a radius of 4 centimeters and a height of 10 centimeters. Round the result to the nearest tenth.
In this case:
[tex]\begin{gathered} r=4\operatorname{cm} \\ h=10\operatorname{cm} \end{gathered}[/tex]Substituting values into the formula and evaluating, you get:
[tex]\begin{gathered} V=\frac{\pi(4cm)^2(10\operatorname{cm})}{3} \\ \\ V=\frac{160\pi cm^3}{3} \\ \\ V\approx167.6\operatorname{cm}^3 \end{gathered}[/tex]Therefore, the answer is:
• You can find the volume by using this formula:
[tex]V=\frac{\pi\cdot r^2\cdot h}{3}[/tex]Where "r" is the radius of the cone, and "h" is the height.
• Problem: Find the volume of a cone that has a radius of 4 centimeters and a height of 10 centimeters. Round the result to the nearest tenth.
• Solution:
[tex]V\approx167.6\operatorname{cm}^3[/tex]