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That the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm?

The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.


What is the radius of a cylinder if the height is 27 centimeters?

The radius of a cylinder is independent of its height.


The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be?

The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be increased.


What is the radius of the cylinder if the height is 8.74 and the mass of 209?

what is the radius of a cylinder if the height is 8.74


What is the volume of a cylinder that has a radius of 3cm and a height of 7cm?

The volume of a cylinder that has a radius of 3cm and a height of 7cm is 197.92cm3


What is volume cylinder of radius 4cm and height 2cm?

A cylinder with a radius of 4cm and a height of 2cm has a volume of 100.53cm3


How do you find the volume of a cone that fits exactly inside a cylinder?

volume=pi*radius squared*height/3, where radius is the radius of the cylinder (and will be the radius of the base of the cone),and height is the lenth of the cylinder.


Volume of a cylinder?

Pi * Radius * Radius * Height.


How do you find the height and radius of cylinder with only the volume?

The volume of a cylinder is (pi)r^2h. This means the volume is dependent on both the height and the radius of the cylinder. So, one must know Volume and either radius or height to calculate height or radius respectively.


How do you find the height of a cylinder with a radius of 8 inches?

It is not possible if you only know the radius. A cylinder with a radius of 8 inches could be any height.


What is the height of a cylinder with a radius of 7 and a volume of 150?

The height of a cylinder with a radius of 7 and a volume of 150 is: 0.9744 units.


What is the volume of a cylinder if its height is 1 and radius is 2.45?

The volume of a cylinder with a height of 1 and a radius of 2.45 is: 18.86 units3