: A marker in the shape of a cylinder has a diameter of 14 mm and a height of 136 mm. Find the volume of the figure described. Use 3.14 for . Round your answer to the nearest tenth, if necessary. *

The volume of the figure is 20,925.0mm^3.

Step-by-step explanation:

Firstly we know that the Diameter = 14mm and Height = 136mm.

Area of Circle = 3.14xR^2    Radius = Diameter / 2

Area of Circle = 3.14x7mm^2 = 153.86mm

Volume = 153.86 x 136 = 20,924.96

Then round, to get 20,925.0

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Volume : ( About ) 20925 mm^3

Step-by-step explanation:

1. If the diameter of this cylinder is 14 mm, the radius ⇒ 14/2 ⇒ 7 mm

2. Now knowing the radius, it would be most convenient to solve for the Base, which is in fact a circle. As we can see, the general Volume of a 3-dimensional figure is Base * height, so this will be helpful. Applying πr^2, Base Area ⇒ π * ( 7 )^2 ⇒ π * 49 π ⇒ 153.86 mm^2

This means that the Volume would be ⇒ Base Area * height ( where height is 138 mm ) ⇒ 153.86 mm^2 * 136 mm ⇒ 20924.96 mm^3

Answer ( Volume ) : ( About ) 20925 mm^3

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