Answer:
Required largest volume is 0.407114 unit.
Step-by-step explanation:
Given surface area of a right circular cone of radious r and height h is,
and volume,

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,
subject to,

We know for maximum volume
. So let
be the Lagranges multipliers be such that,



And,



Substitute (3) in (2) we get,



Substitute this value in (1) we get,



Then,

Hence largest volume,

2560000 sequences of answers are possible.
<em><u>Explanation</u></em>
Total number of questions = 10
First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.
So, the possible sequences of answers for first 4 questions 
and the possible sequences of answers for remaining 6 questions 
Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000
I believe that would equal 65/21
hope that helps!
Answer:
Slope of perpendicular line is -1/3
Step-by-step explanation:
The slope of the given line is 3 and we have to find the slope of the perpendicular line.
We know that the slope of two perpendicular lines are negative reciprocal of each other.
In other words if the slope of the line is m then then slope of the perpendicular line is 
The reciprocal of 3 is 
Hence, negative reciprocal of 3 is 
Therefore, the slope of perpendicular line is -1/3
C is the correct option.
It is Confused * next time correct the word also can I have brainliest I am sooo so close to my next level/stage