SOMEONE HELP ME PLZ ASAP!!!!
1 answer:
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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.
Volume of ball = 2304π in³.
Let 'r' be the radius of sphere
To Find:
Volume of Cube = ?
Solution:
Volume of sphere is given by
Substituting the values we get
Now we know that diameter is given by
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
substituting the values we get
Therefore the volume of the box is 13824 in³
The only way you can find x here is to use a trig ratio. We have the reference angle of 75, CA is 10 which is the side adjacent to the reference angle, and we are looking for the hypotenuse. The ratio that relates the side adjacent to a reference angle to the hypotenuse is cosine. Therefore, 
. Solving for x we get 
. Do that on your calculator and find that the hypotenuse is 38.6 m long, last choice from above.