Question

Please find the dimensions of the largest cylinder that can be inscribed in a sphere with radius equal to rr.

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Answer #1

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Find the volume of the largest right circular cylinder that can
be inscribed in a sphere of radius 4

Find the circular cylinder of largest lateral area which can be
inscribed in a sphere of radius 4 feet. (Surface area of a cylinder
of radius r and height h is 2πrh.)

If the cylinder of largest possible volume is
inscribed in a given sphere, determine the ratio of the
volume of the sphere to that of the cylinder.

Find the dimensions of the rectangular solid of largest volume
which can be inscribed in the ellipsoid
x2/16+y2/4+z2/9=1
Hint: Let (?, ?, ?) represent one of the eight vertices of the
solid. Then by symmetry the volume of the solid is ? =
(2?)(2?)(2?).

what is the largest volume that a cone inscribed in a sphere of
radius 9 cm can have?

Find the area of the largest rectangle that can be inscribed in
a semicircle of radius r = 2.

Find the area of the largest trapezoid that can be inscribed in
a circle of radius 2 and whose base in as diameter of the
circle.

A cylinder is inscribed in a right circular cone of height 2.5
and radius (at the base) equal to 6.5. What are the dimensions of
such a cylinder which has maximum volume?
Asking for both radius and height.

2. A cylinder is inscribed in a right-circular cone of altitude
12cm, and a base with radius of 4cm. Find the dimensions of the
cylinder that will make the total surface area a maximum.

Determine the largest possible area for a rectangle that can be
inscribed in a circle of radius 7.8 cm.

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