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.

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

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!