Carmen drew a cylinder and a cone. The volume of cone is 20 cubic inches.
Solution:
Given that
Camrew drew a cylinder and code with identical bases and heights
Volume of cylinder = 60 cubic inches
Need to calculate volume of cone.
The volume of cylinder is given as:
[tex]\begin{array}{l}{V_{c y}=\pi r^{2} h} \\\\ {V_{c y}=60 \text { cubic inches }}\end{array}[/tex]
The volume of cone is given as:
[tex]V_{c o}=\frac{\pi r^{2} h}{3}[/tex]
As radius r and height of cylinder and cone is same, substitute [tex]\pi r^{2} h=V_{c y}[/tex]
[tex]\Rightarrow V_{c o}=\frac{v_{c y}}{3}=\frac{60}{3}=20 \text { cubic inches }[/tex]
Hence required volume of cone is 20 cubic inches.
