Answer:
10.75 cubic inches
Step-by-step explanation:
Hello, I can help you with this
we need to remember the formula for the volume of a cylinder
Volume of a cilynder
V=[tex]area*heigh\\\pi *radius^{2}*height \\[/tex]
now the volume of a cone is given by:
[tex]\frac{1}{3}*area*heigh\\\frac{1}{3} * \pi *radius^{2}*height \\\\[/tex]
if the cone and the cylinder have the same radius and height
Volume of the cylinder= 32.25 cubic inches=[tex]\pi r^{2}*h\\[/tex]
now, we know
[tex]32.25\ cubic\ inches =\pi r^{2}*h\\\\[/tex]
replace this value into the volume of the cone
volume of the cone=
[tex]V=\frac{1}{3}*\pi r^{2}*h \\V=\frac{1}{3} *32.25\\V=10.75[/tex]
so, the volume of the cone is 10.75 cubic inches
Have a nice day
