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3 years ago

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The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body types, their weights would

vary directly as the cube of their heights. Assume that all men do have identical body types. If a man who is 5 feet 10 inches tall (70 inches) weighs 175175 pounds, approximately how much would a man with a height of 9 feet 2 inches9 feet 2 inches (110 inches )(110 inches) weigh? A man with a record height of 9 feet 2 inches9 feet 2 inches would weigh approximately nothing lbs.

1 answer:

Alisiya [41]3 years ago

5 0

Answer:

679.08 lbs

Explanation:

Here it is given that

$m\propto h^3$

$m_1$ = Mass of first person = 175 pounds

$h_1$ = Height of first person = 70 inches

$m_2$ = Mass of second person

$h_2$ = Height of second person = 110 inches

$\frac{m_1}{m_2}=\frac{h_1^3}{h_2^3}\\\Rightarrow m_2=\frac{m_1h_2^3}{h_1^3}\\\Rightarrow m_2=\frac{175\times 110^3}{70^3}\\\Rightarrow m_2=679.08\ lb$

The weight of the second person would be 679.08 lbs

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