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The Volume of Wood, V, Obtained from a Tree Varies hh

Question 186

Multiple Choice

The volume of wood, V, obtained from a tree varies jointly as the height, hh , and the square of the girth (the distance around the tree trunk) , g. If the volume is 38.4ft338.4 \mathrm { ft } ^ { 3 } when the height is 30ft30 \mathrm { ft } and the girth is 4ft4 \mathrm { ft } , what is the volume when the height is 50ft50 \mathrm { ft } and the girth is 6ft6 \mathrm { ft } ?


A) 139.76ft3139.76 \mathrm { ft } ^ { 3 }
B) 147ft3147 \mathrm { ft } ^ { 3 }
C) 146.35ft3146.35 \mathrm { ft } ^ { 3 }
D) 144ft3144 \mathrm { ft } ^ { 3 }

Correct Answer:

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