Answer:
[tex]volume=558.9[/tex]
Step-by-step explanation:
find the volume of the cone and the hemisphere and add them together
cone:
[tex]Vcone=\pi r^{2} \frac{h}{3} \\\\V=\pi (5.3)^2(\frac{8.4}{3} )\\V=\pi (28.09)(2.8)\\V=247.09\pi \\V=247.1[/tex]
hemisphere:
[tex]Vhemisphere=\frac{2\pi r^3}{3} \\V=\frac{2\pi (5.3)^3}{3} \\V=\frac{2\pi (148.877)}{3} \\V=\frac{297.754\pi }{3} \\V=\frac{935.421}{3}\\ V=311.8[/tex]
add the volumes together:
[tex]Vol=247.1+311.8\\Vol=558.9[/tex]
