Question

marcia wishes to make a bowl in the form of a solid hemisphere.The density of the clay being used to make the hemisphere is .065 pound per cubic inchb and costs clay costs $0.12 per pound. If the diameter of the sphere is 1.5 feet, what is ther coast of making 15 of these bowls to the nearest dollar?

Answer 1

Hemisphere volume = 4/6 •( π•radius^3)

If diameter= 1.5 feet, then

radius R= 0.75 feet= 9.6 inches

then Volume V = 4/6•(π•9.6^3) = 1853 cubic inches

O.88 cubic foots transform to cubic inches =

32 cm/ 2.5 cm = 12.8 inches

Also

Density = Volume / mass = 0.065

Then

mass= Volume/Density = 1853 / 0.065 = 28507 pounds

Then answer for price of 15 bowls is

= 28507x 0.12x 15 =

= $51313 dollars