The volumes of the given figures are:
- Half-sphere: 2,093.3 m³
- Cylinder: 3,140 m³
- Cone: 1,046.67 m³
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How to find the volume of the 3 figures?</h3>
First, let's take the half-sphere.
The volume of half a sphere of radius R is:

Where pi = 3.14
In this case, R = 10m, then the volume is:

For a cylinder of radius R and height H, the volume is:

Here w ehave:
R = 10m and H = 10m, then:

For a cone of radius R and height H, the volume is:

Here we have:
R = 10m
H = 10m
So the volume is:

If you want to learn more about volumes:
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x=
Step-by-step explanation:
add6 to both sides of the = sign (only to like terms, or terms without the x)
22+6 is 28
so 28=7x
divide both sides by 7
which is 4
Yes, it is.
A natural number is the positive integers, including 1, 2, 3, etc.
Hope this helps you!
Let the number of chairs Gavin build per week is x and number of tables he builds per week is y.
It takes 4 hours to work on a chair and 10 hours to work on a table. So time taken to work on x chairs and y tables will be:

Gavin wants to work for no more than 40 hours. So we can write the inequality as:

It takes $10 worth of supplies to build a chair and $15 worth of supplies to build a table. So cost or worth of supplies for x chairs and y tables will be:

Gavin wants to spend no more than $80 on material. So we can write the inequality as:

Thus the system of inequalities is:


We can observe the possible combinations from the graph of these inequalities, which is shown below:
a) 0 chair and 3 tables
b) 5 chairs and 2 tables
c) 8 chairs and 2 tables
Step-by-step explanation:
the inequality is
