3. bouncy rubber balls are composed of a hollow rubber shell 0.4" thick and an outside diameter of 1.2". the price of the rubber needed to produce this toy is $0.035/in3.
a. what is the cost of producing 1 case, which holds 50 such balls? round to the nearest cent.

b. if each ball is sold for $0.10, how much profit is earned on each ball sold?

a. $ 1.11

b. $ 0.08

Step-by-step explanation:

a. The volume of the ball is the volume considering all it (1.2 in diameter) less the volume considering the 0.4 in thick.

V = (4/3)πrb³ - (4/3)πrt³

Where rb is the radius of the ball (0.6 in) and rt is the thick (0.4 in)

V = (4/3)π(0.6)³ - (4/3)π(0.4)³

V = 0.637 in³

For 50 balls, the volume is 50*0.637 = 31.85 in³

So, the cost to produce 1 case is:

$0.035/in³ * 31.85 in³ = $ 1.11

b. The profit is the difference between sales and cost, so for one ball:

P = 0.10 - 0.035*0.637

P = $ 0.08

18.8 cubic inches.

step-by-step explanation:

volume of a cone = πr²h

r = 1.5 inches

h = 8 inches

pi = 3.14

volume of our cone = × 3.14 × 1.5² × 8 = 18.84 square inches

or equals to 18.8 square inches rounded up to nearest tenth.

step-by-step explanation:

107 units