Question

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.)

Answer #1

this the required area is 32π or 100.53096 sqft.

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

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

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

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.

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 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.

determine which of these cylinders has the largest surface area
and show work
a. a cylinder with a height of 8cm and a base with a radius of
3cm
b. a cylinder with a height of 4 cm and a base with a radius of
8cm
c. a cylinder with a height of 8cm and a base with a radius of
4cm
d. a cylinder with a height of 6cm and a base with a radius of
3cm

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

What is the area of the largest rectangle which can be inscribed
in the ellipse given by x^2/16 + y^2/4 = 1?

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