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

435.41

Explanation:

Answer 2

The volume is 435.41mm³

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