Answer:
you divied 7 by 14 which is 2
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Surface Areas and Volumes
Surface Area of Right Circular Cylinders and Cones
A cylindrical container wit...
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Asked on December 20, 2019 by
Ziya Vïvəķ
A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.
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ANSWER
Given,
Diameter of the base of the cylindrical container d=56 cm
Hence, radius of the base of the cylindrical container r=
2
56
=28 cm
Dimensions of rectangular solid is (32 cm×22 cm×14 cm)
We know that when a body is completely submerged in a container containing water,
the rise in the volume of water in the container is equal to the volume of the body.
Let, the water rises to a height h.
Hence,
Volume of water rises in cylindrical container =Volume of the rectangular solid
πr
2
h=32×22×14 cm
3
7
22
×(28)
2
×h=9856 cm
h=
22×784
9856×7
cm
h=4 cm
4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle. 
does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3. So our numerator is 1/2 and our denominator is sqrt(3)/2.
And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
I hoped that made sense.
(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2? According to the unit circle, 150 degrees and 210 degrees does. They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.
5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
But to be sure let's change 5 radian to degrees:
5 * 180/pi = 900/pi = 286.48 degrees
286.48 degrees is definitely in Q4, so we are correct.
This statement is A. True
