I need some help with this question
1 answer:
Check the picture below.
namely, is the volume of the rectangular prism Paraffin, equals or less than the volume of the cone made from it?
![\bf \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=8\\ w=6\\ h=4 \end{cases}\implies V=8\cdot 6\cdot 4\implies \boxed{V=192} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=25 \end{cases}\implies V=\cfrac{\pi (5)^2(25)}{3}\implies \boxed{V\approx 654.5}](https://tex.z-dn.net/?f=%5Cbf%20%20%5Ctextit%7Bvolume%20of%20a%20rectangular%20prism%7D%5C%5C%5C%5C%20V%3DLwh~~%20%5Cbegin%7Bcases%7D%20L%3Dlength%5C%5C%20w%3Dwidth%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20L%3D8%5C%5C%20w%3D6%5C%5C%20h%3D4%20%5Cend%7Bcases%7D%5Cimplies%20V%3D8%5Ccdot%206%5Ccdot%204%5Cimplies%20%5Cboxed%7BV%3D192%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bvolume%20of%20a%20cone%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D5%5C%5C%20h%3D25%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B%5Cpi%20%285%29%5E2%2825%29%7D%7B3%7D%5Cimplies%20%5Cboxed%7BV%5Capprox%20654.5%7D)
well, clearly the cone has enough room to take the 192 cm³.
You might be interested in
Answer:
Step-by-step explanation:
9x+
=x-13
9x*3+1/3=x-13
27x+1/3=x-13
27x+1=3(x-13)
27x+1=3x-39
27x-3x=-39-1
24x=-40
x=-5/3
x=-5/3
Answer:
7/10
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
There are 10 cherry slices and 40 orange slices in the medium bag. So, 10 to 40 simplifies to a ratio of 1 to 4.
Answer:
X is 24
Step-by-step explanation:
mark me brainliest!!!!
Answer:
It is geometry
Step-by-step explanation:
