Answer:
50.2654825cm^3 or 16 
cm^3
Step-by-step explanation:
useds a calculator
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
we have
----> the diagonal of the square base of pyramid is equal to the diameter of the cone
substitute
step 2
Find the volume of the square pyramid
The volume of the pyramid is equal to
where
B is the area of the base
h is the height of the pyramid
we have
substitute
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)
1024 can be factored into
<span>2(512) </span>
<span>=2^2(256) </span>
<span>=2^3(128) </span>
<span>=2^4(64) </span>
<span>=2^5(32) </span>
<span>=2^6(16) </span>
<span>=2^10 </span>
<span>Therefore, </span>
<span>√1024 = √(2^10) = 2^5 = 32</span>
Sales tax is:
$178.90* (5.75/100)=$10.29
The sales tax of the chair is $10.29~
Answer:
a = 16
w = 125
x = 120
y = 55
Step-by-step explanation:
<u>FINDING 'a'</u>
31 = a + 46 / 2
62 = a + 46
16 = a
<u>FINDING 'w'</u>
* This section looks Non-Isosceles trapezoid so I will be following the rule according it
w + 55 = 180
w = 125
<u>FINDING 'y'</u>
y = 55
- Because of corresponding angles
<u>FINDING 'x'</u>
* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.
x + 60 = 180
x = 120
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!)
