Answer:

Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:

where:


a=0

so the volume becomes:

This can be simplified to:

and the integral can be rewritten like this:

which is a standard integral so we solve it to:
![V=9\pi[tan y]\limits^\frac{\pi}{3}_0](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20y%5D%5Climits%5E%5Cfrac%7B%5Cpi%7D%7B3%7D_0)
so we get:
![V=9\pi[tan \frac{\pi}{3} - tan 0]](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20-%20tan%200%5D)
which yields:
]
Answer:
Identity property of multiplication
Step-by-step explanation:
From step 5:

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.
Step 6:

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.
Therefore, 1x = 1 × x = x.
The variable x multiplied by 1 will give you x.
Answer in fraction form is -2182/3
Answer in decimal form is -727.3*
Answer in Mixed number form -737 1/3
Answer:
1526.8 ft ^3
Step-by-step explanation:
the volume of a cylinder formula is V=π x r^2 x h
= pi x 9^2 x 6
= pi x 81 x 6
=1526.8 ft ^3
Answer:
4.47100222
Step-by-step explanation:
157/2.5=62.8
62.8/pi= 19.98986085
square root the answer above and you get 4.47100222 for the radius