A jeweler would like to know the price he should set on gold rings having the following characteristics:
- Interior radius (R) between 0.6cm and 1.2cm
- Height (H) between 0.4cm and 1cm
- Thickness (T) between 0.5cm and 1.5cm

The jeweler has set the price of a troy ounce (453.59 grams) of gold at 2500$ to cover his labor, the density of the gold is 18.4grams/cm^3.

1.) By using the Disc method (integrals), find a formula that will give you the volume of a ring in function of (R),(H) & (T)

Question

A jeweler would like to know the price he should set on gold rings having the following characteristics: 
- Interior radius (R) between 0.6cm and 1.2cm
- Height (H) between 0.4cm and 1cm
- Thickness (T) between 0.5cm and 1.5cm

The jeweler has set the price of a troy ounce (453.59 grams) of gold at 2500$ to cover his labor, the density of the gold is 18.4grams/cm^3.

1.) By using the Disc method (integrals), find a formula that will give you the volume of a ring in function of (R),(H) & (T)

anonymous · Answer

The ring is obtained by rotating this plane region around it's revolution axis. The exterior shape of the ring is described by the equation of a circle centered on its axis.

2.) Find the cost of a ring with: 0.6cm radius, 0.4cm height & 0.5cm thickness
3.) Find the cost of a ring with: 1.2cm radius, 1cm height & 1.5cm thickness