Two million,two hundred one thousand ,seven hundred sixty
Answer:


Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r

Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:

Substitute 432π for V

Divide through by π

Make h the subject:

Surface Area (A) of a cylinder is calculated as thus:

Substitute
for h in 


Factorize:

To minimize, we have to differentiate both sides and set 

Set 

Divide through by 


Cross Multiply


Divide through by 2

Take cube roots of both sides
![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)

Recall that:




Hence, the dimension that requires the least amount of material is when


Check the slopes
the first 2 points have slope (3-1) / (5-1) = 2/4 = 1/2
points 2 and 3 slope = 4/2 = 2
3 and 4:- slope = -2/-4 = 1/2
4 and 1:- slope = 4/2 = 2
so we have 2 pairs of opposite sides which are parallel
looks like a parallelogram or a rhombus
if adjacent sides are equal its a rhombus
length betwee pts 1 and 2 = sqrt(2^2 + 4^2) = sqrt20
.. ... ... .. .. .. ...2 and 3 = sqrt(4^2 + 2^2) = sqrt20
so it is a rhombus
Answer:
We don't know that they skew but if Q and R are the same length then they aren't. But if Q and R are different lengths then they are skew. It would help to post a picture.
Step-by-step explanation:
Answer:
the proportion is false
Step-by-step explanation:
5.5/7.5 = 11/15
3.5/7= 1/2