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There is no ratio of the radius of the base cone to the radius of the base of the cylinder. If they are the same and the height of the cones is the same the ratio of the radius of their bases is 1:1 ant the ratio of the heights is 1:1 and the ratio of the volumes (Vcone:Vcyclinder) is (1/3 Ï€ r2 h):(Ï€i r2 h) or 1/3

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Q: What is the ratio of the radius of the cylinder to the radius of the cone?

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Let the cylinder have radius R and height h Let the cone have radius r and same height h Then: Volume cylinder = πr²h Volume cone = ⅓πR²h If the volume are equal: ⅓πR²h = πr²h → ⅓R² = r² → R² = 3r² → R = √3 r → ratio radii cone : cylinder = 1 : √3

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.

1884 cm3

The cone has 1/3 of the volume of the cylinder.

The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height

In both cases, the radius can be any positive number.

The base of a cone or cylinder is a circle. It the radius is r then the base area B=Pi(r2)

The smaller to the larger is a ratio of 6:10 or 3:5

If you look at the formulas for volume of a cone and volume of a cylinder you can see that a cone will fit in exactly three times if the height and radius of the cone and cylinder are equivalent. A cone has the equation: (1/3)*pi*(r^2)*h=Volume. And a cylinder has the equation: pi*(r^2)*h=Volume. With h equaling height and r equaling radius, you can see that 3*(Volume of a cone)=Volume of a cylinder. Therefore, the cone would fit in three times if height and radius are equivalent for the two figures.

The radius IS given, since height of hemisphere = radius of hemisphere!

Suppose the radius of the sphere is R. The base of the cone is the same as the base of the hemisphere so the radius of the base of the cone is also R. The apex of the cone is on the surface of the hemisphere above the centre of the base. That is, it is at the "North pole" position. So the height of the cone is also the radius of the sphere = R. So the ratio is 1.

Actually it isn't. That's the formula for a cylinder. A cone is 1/3 of that value.

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