Answer:
[tex]628 \text{ }un^3[/tex]
Skills needed: Cone Formulas
Step-by-step explanation:
1) The figure here is known as a cone (like an ice cream cone perhaps). The cone has special formulas, one being the one for volume.
- Volume is the total amount of 3d space taken up by a figure. It takes into account all 3 dimensions and is in cubic units.
---> The formula for the volume of a cone is:
[tex]V=\frac{1}3*\pi*r^2*h[/tex]
[tex]V=volume[/tex]
[tex]\pi = 3.14[/tex] (FOR THIS PROBLEM PI IS 3.14 (AS IT IS STATED) -- In other cases, PI may be a different value based on what the problem says)
[tex]r=radius[/tex], which is the radius of the circular base (In this case, that would be 10 units).
[tex]h=height[/tex], a line from the center of the base to the top vertex (6 units)
---> [tex]\pi=3.14, r=10, h=6[/tex] --> We can easily solve for volume by plugging it in.
2) Solving it out:
[tex]V=\frac{1}3*3.14*10^2*6 \\ V=\frac{1}3*3.14*100*6 \\ V=\frac{3.14}3*600 \\ V=\frac{3.14*600}3=3.14*200=628[/tex]
The above is just me using order of operations and evaluating out for the volume. We end up with the result of 628.
---> If you are allowed to use a calculator, it can go a lot quicker.
