The Volume of Wood, V, Obtained from a Tree Varies $h$

question 99

Multiple Choice

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

• A) \(139.76 \mathrm { ft } ^ { 3 }\)
• B) \(147 \mathrm { ft } ^ { 3 }\)
• C) \(146.35 \mathrm { ft } ^ { 3 }\)
• D) \(144 \mathrm { ft } ^ { 3 }\)

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