Note: Figure not drawn to scale
1 answer:
Answer:
B. 99 square units
Step-by-step explanation:
The <em>parallelogram</em> is a quadrilateral where the opposite sides are parallel to each other. This geometric figure constitutes, therefore, a polygon that consists of 4 sides where there are two cases of parallel sides.
To calculate the area of a parallelogram, you must know the length of the height relative to one of its sides.
Let the base be the side x and the height (h) relative to the base. The area of the parallelogram is the product of the base and the height.
Where:
a is the area in square units.
x is the base in units.
h is the height in units.
Solving:
With x = 11 units and h = 9 units
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Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
We know the volume and the radius of the conical container, then we can find "h":
The diameter and height doubled are:
Now the radius is:
And the container capacity is
Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.