a toy company produces rubber balls that have a radius of 1.7 cm. what is the volume of one rubber ball…
a toy company produces rubber balls that have a radius of 1.7 cm. what is the volume of one rubber ball? round to the nearest hundredth of a centimeter. cm³ if the price of the rubber needed to produce a ball is $0.0045/cm³, what is the cost of producing one ball? round to the nearest cent. $ if the company sells a ball for $0.50, how much profit will it make on each ball? $
Answer
Explanation:
Step1: Recall volume formula for sphere
The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r = 1.7$ cm.
Step2: Calculate volume
$V=\frac{4}{3}\pi(1.7)^{3}=\frac{4}{3}\pi\times4.913\approx\frac{4\times3.14\times4.913}{3}\approx20.58$ $cm^{3}$
Step3: Calculate production - cost
The cost $C$ of producing one ball is the product of the volume and the cost per cubic - centimeter. So $C = 0.0045\times V$. Substituting $V\approx20.58$, we get $C=0.0045\times20.58 = 0.09261\approx0.09$ dollars.
Step4: Calculate profit
The profit $P$ is the selling price minus the cost. The selling price is $0.50$ dollars and the cost is $0.09$ dollars. So $P=0.50 - 0.09=0.41$ dollars.
Answer:
$20.58$ $0.09$ $0.41$