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A cone with a base radius of 3 and a perpendicular height of 2 has a volume of 18.8 cubic units.

Q: If the radius of a cone is 3 and height is 2 then what is the volume of cone?

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Volume = 79.58701 units3

The volume is 25.133 cm3

Volume is 335.1 mm3

Radius of cone = 19/2 = 9.5 mm Volume = (1/3) PI r^2 h, where r is the radius and h is the height, We need to know the height of the cone to find its volume.

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.

Related questions

A cone with a base radius of 2 units and a height of 19 units has a volume of 79.59 cubic units.

Volume = 79.58701 units3

79.59 units3

the volume changes as radius squared and linear with height, so tripling radius and double of height gives 3 x 3 x 2 = 18 times more volume

Volume of a cone: 1/3*pi*radius^2 *height

Volume of Hemisphere = 2/3 * Pi * (radius)^3 Volume of Cone = 1/3 * Pi * (radius)^2 * height where Pi = 22/7 (approx)

The volume is 25.133 cm3

Volume is 335.1 mm3

Radius of cone = 19/2 = 9.5 mm Volume = (1/3) PI r^2 h, where r is the radius and h is the height, We need to know the height of the cone to find its volume.

(1/3)(pi)(radius^2)(height)

52.36m3

A circumference of 2 means a radius of 0.318. Thus, the volume of this cone is 0.477 units3