The volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
What is volume of hemisphere?
The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
What is volume of cuboid?
The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.
Volume of cuboid = Length × Width × Height
Given
Radius of hemisphere r = 3
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]
= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]
= 56.52 [tex]cm^{3}[/tex]
Volume of cuboid V2 = Length × Width × Height
= 10 × 8 × 4
= 320 [tex]cm^{3}[/tex]
The volume of the composite figure V = V1 + V2
V = 56.52 + 320
V = 376.52 [tex]cm^{3}[/tex]
Hence, the volume of the composite figure is 376.52 [tex]cm^{3}[/tex].
Find out more information about volume of hemisphere and volume of cuboid here
https://brainly.com/question/3362286
https://brainly.com/question/23118276
#SPJ2
