Question

What is the volume, in cubic millimeters, of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)V cylinder = pi r squared h. V sphere = four-thirds pi r cubed.

A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 6 millimeters.

Answer 1

Volume of composite is 320.28mm³

Explanation:

This problem bothers on the mensuration of solid shapes, cylinder and sphere,

to solve the volume of the composite figure

1.Let us solve for the volume of the cylinder

V= πr²h

Given radius r= 4mm

Height h= 6mm

V= 3.14*(4)²*6

V=3.14*16*6

V= 301.44mm³

2. Let us solve for the volume of sphere

V= 4/3πr³

V= 4/3*3.14(4)³

V= 4/3*3.14*9

V= 113.04/3

V= 37.68mm³

But the sphere is half

So V= 37.68/2

V= 18.84mm³

Hence composite volume is

18.84+301.44

Volume = 320.28mm³