Chapter P, Problem 1PS

(a)

To determine

To calculate: The maximum and minimum volumes of both the men’s and women’s shots when the men’s and women’s shots for track and field competition must comply with the specifications given below by the USATF,

$\begin{array}{|ccc|}\hline & \text{Men’s}& \text{Women’s}\\ \text{Weight}& \text{7}\text{.26 kg}& \text{4}\text{.0 kg}\\ \begin{array}{c}\text{Diameter}\\ \left(\text{ minimum }\right)\end{array}& \text{110 mm}& \text{95 mm}\\ \begin{array}{c}\text{Diameter}\\ \left(\text{ maximum }\right)\end{array}& \text{130 mm}& \text{110 mm}\\ \hline\end{array}$

(b)

To determine

To calculate: The maximum and minimum densities of both the men’s and women’s shots when the men’s and women’s shots for track and field competition must comply with the specifications given below by the USATF:

$\begin{array}{|ccc|}\hline & \text{Men’s}& \text{Women’s}\\ \text{Weight}& \text{7}\text{.26 kg}& \text{4}\text{.0 kg}\\ \begin{array}{c}\text{Diameter}\\ \left(\text{ minimum }\right)\end{array}& \text{110 mm}& \text{95 mm}\\ \begin{array}{c}\text{Diameter}\\ \left(\text{ maximum }\right)\end{array}& \text{130 mm}& \text{110 mm}\\ \hline\end{array}$

(c)

To determine

Whether it is possible that a ball of cork has the same density as an iron shot

when a ball of cork has the same volume as an iron shot.