A cone has a diameter of 8 units and a helght of 8 units. Its radius is____ its volume is ____ A cylinder with the same height and radius as the cone will have a volume of _____ cubic units. If a sphere has the same radius as the cylinder, Its volume is ____ the volume of the cylinder​

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Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

[tex]volume \ of \ cone = \pi r^2 \frac{h}{3}[/tex]    =134.04cubic units

[tex]volume \ of \ cylinder = \pi r^2h[/tex]  = 402.12 cubic units

[tex]volume \ of \ sphere = \frac{4}{3}\pi r^3[/tex] = 268.08 cubic units