<em><u>Look</u></em><em><u> </u></em><em><u>at</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>attached</u></em><em><u> </u></em><em><u>picture</u></em><em><u>⤴</u></em>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>u</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Its 11.5 because your adding everything in your equation or question
Answer:
The volume of the figure is ![(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bl%5E%7B3%7D%7D%7B3%7D%29%5B%5Cfrac%7B%5Cpi%20%7D%7B2%7D-1%5D%5C%20units%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid
step 1
Find the volume of the cone
The volume of the cone is equal to
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we have
----> the diagonal of the square base of pyramid is equal to the diameter of the cone
![h=l\ units](https://tex.z-dn.net/?f=h%3Dl%5C%20units)
substitute
![V=\frac{1}{3}\pi (\frac{l\sqrt{2}}{2})^{2}(l)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%28%5Cfrac%7Bl%5Csqrt%7B2%7D%7D%7B2%7D%29%5E%7B2%7D%28l%29)
step 2
Find the volume of the square pyramid
The volume of the pyramid is equal to
![V=\frac{1}{3}Bh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBh)
where
B is the area of the base
h is the height of the pyramid
we have
![h=l\ units](https://tex.z-dn.net/?f=h%3Dl%5C%20units)
![B=l^{2}\ units^{2}](https://tex.z-dn.net/?f=B%3Dl%5E%7B2%7D%5C%20units%5E%7B2%7D)
substitute
![V=\frac{1}{3}l^{2}(l)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7Dl%5E%7B2%7D%28l%29)
![V=\frac{1}{3}l^{3}\ units^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7Dl%5E%7B3%7D%5C%20units%5E%7B3%7D)
step 3
Find the volume of the figure
![\frac{1}{6}\pi (l)^{3}\ units^{3}-\frac{1}{3}l^{3}\ units^{3}=(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%5Cpi%20%28l%29%5E%7B3%7D%5C%20units%5E%7B3%7D-%5Cfrac%7B1%7D%7B3%7Dl%5E%7B3%7D%5C%20units%5E%7B3%7D%3D%28%5Cfrac%7Bl%5E%7B3%7D%7D%7B3%7D%29%5B%5Cfrac%7B%5Cpi%20%7D%7B2%7D-1%5D%5C%20units%5E%7B3%7D)
78.8 rounded to the nearest tenths is 78.8
We can not round it to the tenths because it already is rounded to the tenths.