Saturday, January 28, 2012

Introduction to Water Works

The more information we have about the Isle of Pi and Chaos Compound, the more easily we can capture Col. Chaos.  This mission focuses on four man-made water features on the island: a fish pond, a hot tub, a swimming pool, and a water tower.  All of these objects are cylinder in shape.  Use (π r2 x h = v) to find the amount of water in each feature.  Remember to use 3.14 for π for all of the problems on this site.  R is for radius.  H stands for height (or in this case depth). V is for volume.

Good luck, Math Spy.  The next problem is here.










Water Works #1


On the Isle of Pi there is a man-made fish pond that is perfectly round.  If the fish pond has a diameter of 2 meters and a depth of .5 meters, how much water can the fish pond hold in cubic meters?

a. 3.14 cubic meters
b. 1.57 cubic meters
c. 6.28 cubic meters

Water Works #2

Col. Chaos has a hot tub.  If the diameter is 4 meters and the depth is 1 meter, how much water (volume) will the hot tub hold in cubic meters?

a. 12.56 cubic meters
b. 25.12 cubic meters
c. 50.24 cubic meters

Water Works #3


Col. Chaos has a round swimming pool.  If the radius of the pool is 4 meters and the depth is 2 meters, what is the volume of the swimming pool in cubic meters?

a. 25.12 cubic meters
b. 50.24 cubic meters
c. 100.48 cubic meters

Water Works #4



On the Isle of Pi, there is a water tower that supplies fresh water to the Chaos Compound.  If the radius is 8 meters and the height is also 8 meters, what is the volume of water in cubic meters?

a. 1607.68 cubic meters
b. 803.84 cubic meters
c. 401.92 cubic meters

WW4C

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π r2 x h = v

WW3B

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π r2 x h = v