Asked by riri
A cylinder is generated by rotating a rectangle with perimeter 12 in. about one of its sides.?
Express the volume of the cylinder as a function of x.
Find the approximate value of x that maximizes the volume. Then give the approximate maximum volume.
Express the volume of the cylinder as a function of x.
Find the approximate value of x that maximizes the volume. Then give the approximate maximum volume.
Answers
Answered by
Steve
if the rectangle is rotated about the side with length x, then the height is 6-x.
v = pi x^2 (6-x) = pi(6x^2 - x^3)
dv/dx = pi(12x-3x^2) = pi*3x(4-x)
so, when x=4, v is max.
v = pi x^2 (6-x) = pi(6x^2 - x^3)
dv/dx = pi(12x-3x^2) = pi*3x(4-x)
so, when x=4, v is max.
Answered by
Anonymous
A right circular cone of height 24 cm has a curved surface area 550 Square CM it's volume is
Answered by
anonymus
Find the missing dimension of the cylinder. The volume is 28 in3. Round your answer to the nearest whole number.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.