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Bess [88]
3 years ago
10

The formula to find the volume of a sphere is V = 4/3 * pi * r ^ 3 , wherer is the radius of the sphere. What is the formula in

terms of r?
Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

r=cube root (3V/4π)

Step-by-step explanation:

We are given the formula for the volumeV of a sphere in terms of its radius r:

V=4/3πr^3

And we are asked to solve for r. The first thing we want to do is multiply both sides by 34π so that we just have r3 on the right sides:

3/4π⋅V=3/4π⋅4/3π(r^3)

Divide out the common factors on the right and arrange as:

r3^=3V/4π

Next, we want to take the cube root of both sides so that we just have r on the left:

cube root (r^3)= cube root (3V/4π)

r=cube root (3V/4π)

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In the diagram of parallelogram HIJK below, the diagonals HJ and IK are perpendicular, as shown. If HJ is 10 inches long and IK
guapka [62]

Answer:

It is the hypotenuse of a right triangle with legs 5 and 12.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. If the angle at which they meet is a right angle, then a right triangle is formed whose legs are half the length of each of the diagonals, and whose hypotenuse is the length of one side of the parallelogram (rhombus).

Here, the triangle's leg lengths are 5 and 12, so the Pythagorean theorem tells us the hypotenuse is ...

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