Question

A toy company produces rubber balls that have a radius of 1.7 cm.

Answer 1

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

$Volume\ of\ a\ sphere = \frac{4}{3}\pi r^{3}$

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

$\pi = 3.14$

Put all the values in the formula

$Volume\ of\ rubber\ ball= \frac{4}{3}\times 3.14\times 1.7\times 1.7\times 1.7$

$Volume\ of\ rubber\ ball= \frac{4\times 3.14\times 1.7\times 1.7\times 1.7}{3}$

$Volume\ of\ rubber\ ball= \frac{61.70728}{3}$

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 .

Answer 2

20.58 cm^3

$0.09

$0.41

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