Respuesta :
Answer:
The volume of a rubber ball is 20.57 cm³ .
The cost of producing one ball is $ 0.093 .
The profit will it make on each ball is $ 0.41 .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ sphere = \frac{4}{3}\pi r^{3}[/tex]
Where r is the radius of the sphere .
First part
As given
A toy company produces rubber balls that have a radius of 1.7 cm.
r = 1.7 cm
[tex]\pi = 3.14[/tex]
Put all the values in the formula
[tex]Volume\ of\ rubber\ ball= \frac{4}{3}\times 3.14\times 1.7\times 1.7\times 1.7[/tex]
[tex]Volume\ of\ rubber\ ball= \frac{4\times 3.14\times 1.7\times 1.7\times 1.7}{3}[/tex]
[tex]Volume\ of\ rubber\ ball= \frac{61.70728}{3}[/tex]
Volume of a rubber ball = 20.57 cm³ (Approx)
Therefore the volume of a rubber ball is 20.57 cm³ .
Second part
As given
If the price of the rubber needed to produce a ball is $0.0045/cm³.
Thus
Total cost of producing a rubber ball = Volume of a rubber ball × Price of the rubber needed to produce a ball .
Put all the values in the above
Total cost of producing a rubber ball = 20.57 × 0.0045
= $ 0.093 (Approx)
Therefore the cost of producing one ball is $ 0.093 .
Third part
If the company sells a ball for $0.50 .
i.e
Selling price of a ball = $0.50
The cost of producing one ball is $ 0.093 .
i.e
Cost price of a ball = $0.093
Profit = Selling price - Cost price
Put all the values in the above
Profit = $ 0.50 - $ 0.093
= $ 0.41 (Approx)
Therefore the profit will it make on each ball is $ 0.41 .
The correct statement is that the volume of the ball, making cost, and profit are 20.58 cm³, $0.09261, and $0.40739 respectively.
What is geometry?
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
A toy company produces rubber balls that have a radius of 1.7 cm.
To find
The volume of ball, making cost, and profit.
How do find things?
The volume of the rubber ball is given by the volume of the sphere.
[tex]\rm Volume = \dfrac{4}{3} \pi r^3[/tex]
1. Where r be the radius of the ball. then the volume will be
[tex]\rm Volume = \dfrac{4}{3} \pi r^3\\\\\rm Volume = \dfrac{4}{3} \pi (1.7)^3\\\\\rm Volume = \dfrac{4}{3} \pi *(4.913)\\\\\rm Volume = 20.58[/tex]
So the volume of the ball is 20.58 cm³.
2. If the price of the rubber needed to produce a ball is $0.0045/cm3, then the production cost of the ball will be
Cost of ball = 0.0045 x 20.58
Cost of ball = $0.09261
3. If the company sells a ball for $0.50.
Then profit will be,
Profit = Selling price - cost price
Profit = 0.5 - 0.09261
Profit = $0.40739.
Thus, The volume of the ball, making cost, and profit are 20.58 cm³, $0.09261, and $0.40739 respectively.
More about the geometry link is given below.
https://brainly.com/question/7558603
