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.

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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

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π r² x h = v

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π r² x h = v

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π r² x h = v

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π r² x h = v

(Remember to divde the diameter in half to find the radius.)

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π r² x h = v

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π r² x h = v

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π r² x h = v

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Chaos Compound #1

Chaos Compound is a circular building in the middle of the Isle of Pi.  The building is 120 meters from one edge to the other.  There is a parking garage on the bottom floor, offices in the middle and a penthouse apartment on the top.  Remember to use 3.14 for pi for this problem and all your other calculations on this site.

What is the area of the parking garage?

a. 11,304 square meters
b. 12, 306 square meters
c. 10, 314 square meters

 

 

 

 

 

 

 

 

 

 

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Chaos Compound #2

Around the outside of the parking garage, there is a fence that surrounds Chaos Compound.  How much fencing is needed to surround the entire garage including the gate so cars can enter and exit the garage?

a. 376.8 meters
b. 282.6 meters
c. 188.4 meters

Chaos Compound #3

Above the parking garage are the offices for Chaos Compound.  Around the outside of this level there is a window every 6.28 meters.  How many windows are there on the office level of Chaos Compound?

a. 60 windows
b. 72 windows
c. 90 windows

Chaos Compound #4

On the top floor of Chaos Compound is a penthouse apartment where Col. Chaos lives and works when his is not off causing trouble somewhere.  Like everything else on the Isle of Pi, this penthouse is a circle.  From the elevator in the center to one of the outside walls, it is 30 meters.  What is the area of the penthouse apartment?

a. 3026 square meters
b. 2926 square meters
c. 2826 square meters

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