Answer:
False
Step-by-step explanation:
The volume of a right cylinder is given by the formula:
And the volume if a oblique cylinder is <em>also</em> given by the formula:
Regardless of the height, if the radius are different, then the volume would not be the same.
Algebraically:
The two quadrilaterals are given similar .
In any similar figure sides are in proportion.The second largest side of quadrilateral ABCD is 16 ft .Let the second longest side of quadrilateral EFGH be x ft. These sides will be in proportion to each other .
The second shortest side of quadrilateral EFGH that is GF will be proportional to the third longest side of quadrilateral ABCD that is BC
We can form a proportion with the proportional sides:
To solve for x we cross multiply
12x=(16)(18)
12x=288
Dividing both sides by 12 we get
x=24.
The second longest side of quadrilateral EFGH is 24 ft.