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.
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.
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.

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