Answer:
The volume is 435.41mm³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder and a sphere
To solve for the volume of the composite figure let us understand that the figure consists of a cylinder and half sphere.
Given data
Radius r cylinder/cone= 4mm
Height of cylinder h= 6mm
1. Let's solve for the volume of the cylinder
V =πr²h
V= 3.14*(4²)*6
V= 3.14*16*6
V= 301.44mm³
2.Let us solve for the volume of the cone
V= 4/3πr³
V= (4/3)*3.14*4³
V= (4/3)*3.14*64
V=803.84/3
V= 267.95mm³
But the composite consists of half of the cone
V= 267.95/2= 133.97mm³
Hence the total volume of the composite is 301.44mm³+133.97mm³
435.41mm³
