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aleksandr82 [10.1K]
3 years ago
15

Which of the following points is a situation to the following system of equations?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0
D is the answer. Substitute 1 for x and 0 for your.
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A spherical ball with a volume of 2,304π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is
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Answer:

Therefore the volume of the box is 13824 in³

Step-by-step explanation:

Given:

A spherical ball with is packaged in a box that is in the shape of a cube.

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Let 'r' be the radius of sphere

To Find:

Volume of Cube = ?

Solution:

Volume of sphere is given by

\textrm{Volume of sphere}=\dfrac{4}{3}\pi r^{3}

Substituting the values we get

2304\pi=\dfrac{4}{3}\pi r^{3}\\\\\therefore r^{3}=1728\\\\Cube\ Rooting\\\\r=12\ in

Now we know that diameter is given by

diameter=2\times r=2\times 12=24\ in

it is given that,

The edge length of the box is equal to the diameter of the ball.

Therefore the length of cube = 24 in

Now the volume of the cube is given by

\textrm{Volume of cube}=(edge)^{3}

substituting the values we get

\textrm{Volume of cube}=(24)^{3}=13824\ in^{3}

Therefore the volume of the box is 13824 in³

6 0
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