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What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base diameter of 14cm?

1 Answer

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The equation for the volume of a cylinder is:

V = πr²h

V= volume

r= radius

h= height

In the problem, you are already given the height of 8cm

To find the radius, you have to understand that diameter is a straight line that represents the distance across a circle. The radius is half this distance. To find the radius, divide the value of the diameter by 2.

Radius= 14 ÷ 2= 7cm

Now plug in all your information into the Volume equation and solve:

V = πr²h

V= π × 7² × 8

V = π × 49 × 8

V = π × 392

V = 392π or ≈1231.5

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