The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to
make the bottle, the surface area must be less than 150 cm2. The company also
wants the bottle to hold at least 100mL of perfume. The design under
consideration is in the shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total
surface area of less than 150 cm2. Determine the volume to the nearest 10mL.
Report the dimensions of the bottle and the corresponding surface area and
volume.
This cylindrical perfume bottle needs to be boxed in a prism for sale on store
shelves. The Goodsmell perfume producing company would like a box with the
smallest possible surface area which will hold your design for the perfume bottle.
Report the dimensions of the box and the corresponding area and volume.
The Pretty Perfume Company, Goodsmell's competition, has also designed a
new perfume bottle. The bottle is to be a spherical shape with a diameter of
7cm. Determine the volume and surface area of this bottle.