1-A designer wants to make use of a half-spherical cistern in a water system. If
ID: 2989608 • Letter: 1
Question
1-A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of 8 feet, how many gallons of water can it hold?Use US gallons.
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2-A surveyor needs to determine the height of a tree. She places a mirror on the ground and paces backwards until she sees the top of the tree reflected in the mirror. She marks where she is standing and then measures the distance from this spot to the mirror which is 11 feet. She then measures the distance from the mirror to the base of the tree which is 95 feet. The surveyor's height is 54 inches from the ground to her eyes. How tall is the tree (in feet) assuming level ground from the surveyor's spot to the mirror and from the mirror to the tree?
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3- A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer diameter of 2.2 inches and an inner diameter of 2 inches. What is the volume of metal in the conduit in cubic centimeters?
Explanation / Answer
1) 1000 US gallons
2) 466.36 inches or 38.86 feet
3) 93407 cm3
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