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zhuklara [117]
2 years ago
9

Which statement could be used to conclude that this parallelogram is a rhombus?

Mathematics
1 answer:
tatuchka [14]2 years ago
6 0
A parallelogram is a four-sided shape where the opposite sides are parallel to each other.
A rhombus is a parallelogram with the four sides equal.
Some of the properties of a rhombus are:
<span>1.) All sides are parallel and equal.
2.) Opposite angles are equal
3.) Consecutive angles add up to 180 degrees.
4.) <span>The diagonals bisect the angles.</span></span>
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We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).

So, we first need to calculate the volume of the cylinder, which is given by the formula:

VT = π * r² * h

VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm

Then we calculate the volume of the cone, which is given by:

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VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm

Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:

NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm

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