the can is 5 inches tall, so its height is 5 inches, so 3 inches off 5 inches that'd be 3/5.
the can has a diameter of 0.8 inches, meaning it has a radius of half that, or 0.4 inches.
if say the volume of iced-tea is V, how much is 3/5 of V? well, is just their product.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=0.4\\ h=5 \end{cases}\implies V=\pi (0.4)^2(5)\implies V=0.8\pi \\\\\\ \stackrel{\textit{and 3/5 of that will be}}{\cfrac{3}{5}\cdot 0.8\pi }\implies V\approx \stackrel{in^3}{1.51}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D0.4%5C%5C%20h%3D5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Cpi%20%280.4%29%5E2%285%29%5Cimplies%20V%3D0.8%5Cpi%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Band%203%2F5%20of%20that%20will%20be%7D%7D%7B%5Ccfrac%7B3%7D%7B5%7D%5Ccdot%200.8%5Cpi%20%7D%5Cimplies%20V%5Capprox%20%5Cstackrel%7Bin%5E3%7D%7B1.51%7D)
Just round the decimal up
His mistake was that he did not use a random sample. His tried to show that playing games would give him higher grades which his study does not decisively conclude because the people around him that play games are likely to be in the same academic caste as him, which skews his data. Choice B would be the best because he's not testing any variables, rather just collecting the unadultered data of the group.
The triangle ABC is a right angled triangle , right angled at C because it is the angle subtended by the diameter
Now OA = OB = OC = 4 cm (radii)
AB = OA + OB = 8 cm
By pythagoras theorem ,
AC =4 
shade region area = area of semicircle - area of triangle
= 
- 1/2 × base × height
=1/2 × 16 
- 1/2 × 4 × 
=8 - 8
=8(
)
A regular tessellation of the plane by two or more convex regular polygons say that the same polygons in the same order surround each polygon vertex. Simply but, at each polygon vertex the picture in the same upto rotation.
Mason created the following tessellation
At the left we have ?? a ??( idk sorry) of the tessellation. We have marked two
Hopefully that helped
