Suppose you know the surface area of a sphere. Explain how you would find the volume of the sphere. Provide an example.

1 answer:

3 0

The surface area of a sphere is...

A = 4 pi r^2

We would find the radius in which we make this an equation of the radius.

r = (sqrt A pi) / 2 pi

Once we identify r we would then input the radius in the equation for the volume of a sphere....

<span>V = 4/3 pi r^3</span>

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Step-by-step explanation:

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If sinx=1/5 and x terminates in the first quadrant, determine cos 2x.

LenaWriter [7]

Hey there! I'm happy to help!

Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.

We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.

x=sin $^-1$ (1/5)

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Now, we just cosine this value.

cos2x≈ 0.92

I hope that this helps! Have a wonderful day!

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