Given:
The diameter of the right cylinder is 2x cm.
The total surface area is 96 cm cube.
The radius is calculated as,
The total surface area is,
Volume is,
Now, differentiate with respect to x,
Now,
Now, differentiate (1) with respect to x again,
Since, the double derivative is negative.
So, the volume becomes,
Answer: maximum volume of the cylinder is,
Answer:
32'cube
Step-by-step explanation:
Just i have no paper and pen so i just calculated it in my mind so its not practically an accurate answer
Answer:
Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal
In this problem
m<VXY=m<VUW ------> by corresponding angles
m<XVY=m<UVW -----> is the same angle
therefore
m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees
therefore
Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent
Make the same denominator then Add which would be 4/12 + 1/12 which is 5/12
Answer: 30
Step-by-step explanation:
6x5