Question

A ball is placed exactly in a cubic box with 7 cm sides. Find the volume of the ball.

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Answer 1

Answer:

If the ball is fitted inside the cubical box,Then Diameter of the ball must be equal to the distance between opposite faces of the Cube which is =a

Therefore, r=

2

a

So, Volume of Sphere(Ball) will be =

3

4

π(

2

a

)

3

=

6

1

πa

3

Answer 2

Step-by-step explanation:

$volume \: of \: ball = \frac{4}{3} \pi {r}^{3} \\ r = \frac{7}{2} cm \\ volume = \frac{4}{3} \times \frac{22}{7} \times {( \frac{7}{2} )}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times \frac{7}{2} \\ = \frac{11 \times 49}{3 } \\ = 179.66$