Given
The diagram is given where cube is drilled with a hole in a shape of cone.
The cube length is 9 cm.
Explanation
To find the volume of metal after the hole is drilled.
Find the volume of cube.
[tex]\begin{gathered} V=a^3 \\ V=9^3=729cm^3 \end{gathered}[/tex]
Find the volume of cone, where radius is side of cube is divide by 2.
[tex]r=\frac{9}{2}=4.5cm[/tex]
The volume of cone is
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\times3.14\times4.5^2\times9 \\ V=3\times3.14\times4.5\times4.5 \\ V=190.755cm^3 \end{gathered}[/tex]
To determine the volume of metal after the hole is drilled , subtract the volume of cube from the volume of cone.
[tex]729-190.755=538.245cm^3[/tex]
Answer
The volume of metal after the hole is drilled
