Question

Geometry
Surface area and volume

Answer 1

`volume=558.9`

Explanation:

find the volume of the cone and the hemisphere and add them together

cone:

`Vcone=\pi r^(2) (h)/(3) \\\\V=\pi (5.3)^2((8.4)/(3) )\\V=\pi (28.09)(2.8)\\V=247.09\pi \\V=247.1`

hemisphere:

`Vhemisphere=(2\pi r^3)/(3) \\V=(2\pi (5.3)^3)/(3) \\V=(2\pi (148.877))/(3) \\V=(297.754\pi )/(3) \\V=(935.421)/(3)\\ V=311.8`

add the volumes together:

`Vol=247.1+311.8\\Vol=558.9`