Answer:
[tex]V=82.2\pi \ cm^3[/tex]
Step-by-step explanation:
-Given the cone's diameter is 8.4 cm and the height is 14 cm.
-It's volume can be calculated as follows:
[tex]V=\frac{1}{3}\pi r^2h, \ h=14, \ r=8.4/2=4.2\\\\V=\frac{1}{3}\pi \times 4.2\times 14\\\\82.2\pi \ cm^3[/tex]
[tex]\therefore V=82.2\pi \ cm^3[/tex]
Hence, the cone's volume is [tex]82.2\pi \ cm^3[/tex]
