Question

The material needed to make the skin of a basketball costs $71.62 / m2. A standard basketball has a diameter of 24 cm. To the nearest dollar, how much does a basketball cost to make?

Answer 1

Answer: $1296

Step-by-step explanation:

Surface area of s sphere = 4πx r^2

Diameter = 1/2 radius

Surface area = 4π x 12^2

= 1809.56 cm^2 = 18.096 m^2

Material required = 71.62 x 18.096

= $1296

Answer 2

Answer:

$13

Step-by-step explanation:

First step is to convert cm to metres (24cm/100=0.24m)

therefore diameter is now 0.24

SA= 4π^r2      r=d/2=0.24m/2= 0.12m

SA= 4π^(0.12)^2= 0.1809...m^2

So since the surface area of this basketball is 0.1809..m^2, we then must calculate how much it will cost for the material to cover for one basketball. (this is why converting is important because you can end up with the wrong price/answer)

$71.62/1m^2 =0.1809..m^2 =$12.96

They want it in nearest DOLLAR  so final answer is $13 to make one basketball

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