Answer:
9?
Step-by-step explanation:
5).
and
6).
The volume of a sphere is
(4/3) (pi) (radius)³ .
In #5, the 'pi' is already there next to the answer window.
You just have to come up with the (4/3)(radius³).
Remember that the radius = 1/2 of the diameter.
7). The volume of a cylinder is
(pi) (radius²) (height) .
Divide the juice in the container by the volume of one can,
to get the number of cans he can fill.
8). The volume of a cone is
(1/3) (pi) (radius of the round bottom)² (height) .
He starts with a small cone, he then adds clay to it to make it higher.
The question is: How much clay does he ADD to the short one,
to make the bigger one ?
Use the formula to find the volume of the short one.
Use the formula again to find the volume of the bigger one.
Then SUBTRACT the smaller volume from the bigger volume.
THAT's how much clay he has to ADD.
Notice that the new built-up cone has the same radius
but more height than the first cone.
_______________________________________
Don't worry if you don't understand this.
The answer will be this number:
(1/3) (pi) (radius²) (height of the big one minus height of the small one).
What we have here are steps where each step requires twice as many blocks as the height of the steps. If you would like to check this math we can look at the staircase given:
3x2 + 2x2 + 1x2 = 6 + 4 + 2 = 12.
We can see that the math works, so now we can do the same work to find out how many steps 56 cubes can make.
6x2 + 5x2 + 4x2 + 3x2 + 2x2 + 1x2 = 42 (6 steps)
<span>7x2 + 6x2 + 5x2 + 4x2 + 3x2 + 2x2 + 1x2 = 56 (7 steps)
</span>
Therefore, the answer is B. 7 steps.
The easiest way is to break it down into smaller shapes. denied it into 3 rectangles and 2 squares fingers the areas of all of them and add them up.
