Question

Geometry Surface area and volume

Answer 1

Answer:

$volume=558.9$

Step-by-step explanation:

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

cone:

$Vcone=\pi r^{2} \frac{h}{3} \\\\V=\pi (5.3)^2(\frac{8.4}{3} )\\V=\pi (28.09)(2.8)\\V=247.09\pi \\V=247.1$

hemisphere:

$Vhemisphere=\frac{2\pi r^3}{3} \\V=\frac{2\pi (5.3)^3}{3} \\V=\frac{2\pi (148.877)}{3} \\V=\frac{297.754\pi }{3} \\V=\frac{935.421}{3}\\ V=311.8$

add the volumes together:

$Vol=247.1+311.8\\Vol=558.9$