Math, asked by anahitadasgupta2020, 8 months ago

1. Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16 cm × 8 cm × 8 cm. When 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer. [ Useπ=3.14] pls answer ... it's urgent

Answers

Answered by TheLightningWizard
2

Answer:

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Step-by-step explanation:

GIVEN -

DIMENSIONS OF THE BOX - 16 * 8 * 8

RADIUS OF THE SPHERES - 2CM

MYSTERY TOPIC -

WHAT IS THE VOLUME OF THE LIQUID?????

VOLUME OF THE BOX -

16 \times 8 \times 8 = 1024 {cm}^{3}

VOLUME OF THE BALL-

 \frac{4}{3}  \times 3.14 \times  {2}^{3}

 = \frac{100.48}{3}  {cm}^{3}

we have 16 such balls so -

  \frac{100.48}{3}   \times 16

 =  \frac{1607.68}{3}

now we can find the volume of the liquid-

1024 - 535.89 = 488.11 {cm}^{3}

MYSTERY RESOLVED

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