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3 years ago

Does anyone know the answer ? lmk asap

Mathematics

1 answer:

horrorfan [7]3 years ago

6 0

Answer:

1,253 inches cubed

Step-by-step explanation:

This is easy, just find the separate volumes of both and add.

Figure 1: 7x5x5= 175 inches cubed

Figure 2: 11x14x7= 1,078 inches cubed

Added together: 1,253 inches cubed

Therefore it's C

:))))))

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2 years ago

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3 years ago

alex wong basketball after making a half court shot. the display box for his new basketball is in the shape of a cube. alex meas

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408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

The diameter of the sphere = the side of the cube
The empty volume of the cube is the difference between the volume of the cube and the volume of the sphere

∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

- Divide both sides by 2

∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

volume of the box - volume of the ball

∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) = $\frac{4}{3}$ π r³

∵ r = 4.75

∴ Volume the ball = $\frac{4}{3}$ (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

6 0

3 years ago