Question

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.

Answer 1

679.08 lbs

Step-by-step 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

`(m_1)/(m_2)=(h_1^3)/(h_2^3)\\\Rightarrow m_2=(m_1h_2^3)/(h_1^3)\\\Rightarrow m_2=(175* 110^3)/(70^3)\\\Rightarrow m_2=679.08\ lb`

The weight of the second person would be 679.08 lbs