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Ghella [55]
3 years ago
13

Graphing inequalities k < -3​

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Step-by-step explanation: So when graphing this problem, we start at -3 on our number line with an open dot because <em>k</em> is less than but not equal to -3. I have shown this in the image attached below.

We then draw an arrow going to the left to represent all number less than -3.

Finally, we put our answer in set notation which is shown below.

{K: k < -3}

All this means is that if we take any number less than -3, this will be a solution for the inequality <em>k < -3</em>.

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Find the volume of the sphere. Either enter an exact answer in terms N(Pi) Or ya 3.14 for N(pi)
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Full Question:

Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. with a radius of 10 cm

Answer:

The volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

Step-by-step explanation:

Given

Solid Shape: Sphere

Radius = 10 cm

Required

Find the volume of the sphere

To calculate the volume of a sphere, the following formula is used.

V = ⅓(4πr³)

Where V represents the volume and r represents the radius of the sphere.

Given that r = 10cm,.all we need to do is substitute the value of r in the above formula.

V = ⅓(4πr³) becomes

V = ⅓(4π * 10³)

V = ⅓(4π * 10 * 10 * 10)

V = ⅓(4π * 1,000)

V = ⅓(4,000π)

The above is the value of volume of the sphere in terms of π.

Solving further to get the exact value of volume.

We have to substitute 3.14 for π.

This gives us

V = ⅓(4,000 * 3.14)

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V = 4186.67 ---- Approximated

Hence, the volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³

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