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alekssr [168]
3 years ago
14

The volume of sphere is 2254 pi m cubed. what is the surface area to nearest tenth?

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
V=2254\pi\ m^3\\\\V=\dfrac{4}{3}\pi r^3\\\\\text{therefore}\\\\\dfrac{4}{3}\pi r^3=2254\pi\ \ \ |:\pi\\\\\dfrac{4}{3}r^3=2254\ \ \ |\cdot\dfrac{3}{4}\\\\r^3=1690.5\to r=\sqrt[3]{1690.5}\to r\approx11.9126\to r\approx11.9

S_A=4\pi r^2\to S_A=4\pi\cdot11.9^2=4\pi\cdot141.61=566.44\pi\approx1778.6\ m^2
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COMPLETE QUESTION:

Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. Her profit can be modeled by C(x) = 10x - 50.

What type of function is this?

What is the domain and range of the function?

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- This function is one-to-one

- Domain D = {x: x is a whole number ≤ Z}

- Range R = {y: y is in -50, ..., (10Z - 50)}

Where Z is the number of candles she could produce with $50.

Step-by-step explanation:

Given that her profit is modeled by C(x) = 10x - 50

- This function is one-to-one, because it is in the form f(x) = y.

Let the number of candles she could make with $50 be Z.

Then the domain is the set of all whole numbers less or equal to Z.

D = {x: x is a whole number ≤ Z}

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D = (-infinity, infinity)

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The range is then given as

R = whole numbers from -50 up to (10Z - 50)

R = {y: y is in (50 -Z), ..., (10Z - 50)}

If there are infinite number of candles she could make with that money, then

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