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3 years ago

OA. 29 feet OB. 19 feet OC. 6 feet OD. 36 feet

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

What’s the question????

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If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units

nikdorinn [45]

Answer:

radius = 2.05 units

Step-by-step explanation:

The volume of a sphere is given by the formula: $V=\frac{4}{3} \pi r^3$ . In this formula:

V = volume of the sphere
r = radius of the sphere

Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.

Substitute 36 for V into the formula and solve for r.

$36=\frac{4}{3} \pi r^3$

Divide both sides by $\frac{4}{3}$ . To do this, multiply 36 by the reciprocal of $\frac{4}{3}$ .

$36\times \frac{3}{4}$
$36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27$

Simplify and rewrite the equation.

$27=\pi r^3$

Now divide both sides of the equation by pi ( $\pi$ ).

$27\div\pi=8.59436692696$

Rewrite the equation.

$8.59436692696=r^3$

To isolate and solve for r, cube root both sides of the equation.

$r=\sqrt[3]{8.59436692696}$
$r=2.04835218977$

The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:

whole number: 2 units
tenth: 2.0 units
hundredth: 2.05 units
thousandth: 2.048 units

I'll just give the answer rounded to the nearest hundredth as that seems the most popular.

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The slope is
3/2

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Answer:

y=9.5x-.5 Y2 minus Y1 divided by X2 minus X1 gets you the slope

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Arisa [49]

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Then use the law of sines to find angle B. (Sin A/a = Sin B/b = Sin C/c).

Because the two red angles within B are congruent, divide your angle measure in half.

From there, do the law of sines to solve for x. Good luck!

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4,400,073

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