SOLUTION: The height if this over-sized container is 3 m. Its diameter is 2 m. What is its area?
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Question 295163
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The height if this over-sized container is 3 m. Its diameter is 2 m. What is its area?
Answer by
Theo(13342)
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The container is a cylindrical solid.
Don't know why you call it over-sized but that might not make a difference.
It's diameter is 2 meters.
It's height is 3 meters.
It's radius is 1 meter which is one half the diameter.
The area of its base is presumed to be a circle which would be equal to
.
Substitute 1 for r to get Area of the Base =
.
Since
= 3.141592654, then the Area of the Base = 3.141592654 square meters.
The volume of the container would be equal to the Area of the Base Times the Height, which would then be equal to:
3.141592654 * 3 = 9.424777961 cubic meters.
The formula for the volume of the container is
.
Since
is the formula for the area of the base, then the formula for the volume of the container becomes:
Area of the Base * Height.