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Delicious77 [7]
2 years ago
13

I need help!! (photo included)

Mathematics
1 answer:
Firlakuza [10]2 years ago
3 0

Answer:

a. The surface area is 2828.25 cm^2

b. The radius is 8 cm

Step-by-step explanation:

The surface area of a beachball is modeled by the function

f(x)=ax^2

Where x is the radius of the beachball.

It's given that a beachball of radius 12 cm has a surface area of 1809.56 cm^2

This information will allow us to find the value of a by substituting in the model:

1809.56=a*12^2=144a

Dividing by 144:

a = 1809.56/144

a = 12.57

The model is now:

f(x)=12.57x^2

Now we can solve parts a and b:

a . Find the surface area of a beachball of radius x=15 cm

f(15)=12.57*15^2

f(15)=2828.25

The surface area is 2828.25 cm^2

b. Find the radius of a beachball with a surface area of 804.25 cm^2

We need to solve:

804.25 = 12.57x^2

Dividing by 12.57:

x^2=804.25/12.57\approx 64

Thus:

x=\sqrt{64}

x=8 cm

The radius is 8 cm

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