The weight W of a sphere of a given material varies directly as its volume V, and its volume V varies directly as the cube of its diameter. a) Find an equation of variation relating the weight W to the diameter d. b) A particular ball that is 7 in. in diameter is known to weigh 49 lb. Find the weight of a ball that is 9 in. in diameter. a) W= b) The weight of a ball that is 9 in. in diameter islb. (Simplify your answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The weight W of a sphere of a given material varies directly as its volume V, and its volume V varies directly as the
cube of its diameter.
a) Find an equation of variation relating the weight W to the diameter d.
b) A particular ball that is 7 in. in diameter is known to weigh 49 lb. Find the weight of a ball that is 9 in. in diameter.
a) W =
b). The weight of a ball that is 9 in. in diameter islb.
(Simplify your answer.)
Transcribed Image Text:The weight W of a sphere of a given material varies directly as its volume V, and its volume V varies directly as the cube of its diameter. a) Find an equation of variation relating the weight W to the diameter d. b) A particular ball that is 7 in. in diameter is known to weigh 49 lb. Find the weight of a ball that is 9 in. in diameter. a) W = b). The weight of a ball that is 9 in. in diameter islb. (Simplify your answer.)
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