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VMariaS [17]
3 years ago
8

This box has the same length , width, and height as the 2 basketballs. Which expression gives the volume of the empty space enci

rcling the basketballs inside the box?

Mathematics
2 answers:
Solnce55 [7]3 years ago
8 0
Don't you just grab the volume of the box and subtract the volume of the basketballs.
Vadim26 [7]3 years ago
4 0

Answer:

4,608(6- \pi)\ cm^{3}

Step-by-step explanation:

we know that

The volume of the empty space encircling the basketballs inside the box is equal to the volume of the box minus the volume of the two basketball inside the box

so

<u>The volume of the box is equal to</u>

V=LWH

in this problem we have

L=2*24=48\ cm

W=24\ cm

H=24\ cm

substitute

V=48*24*24=27,648\ cm^{3}

The volume of the two basketball inside the box is equal to

V=2*\frac{4}{3} \pi r^{3}

n this problem we have

r=24/2=12\ cm

substitute

V=\frac{8}{3} \pi 12^{3}

V=4,608 \pi\ cm^{3}

The expression is equal to

(27,648-4,608 \pi)\ cm^{3}

4,608(6- \pi)\ cm^{3}

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