Metal spheres, each of the radius 2 cm, are packed into a rectangular box of internal dimension 16 cm × 8 cm × 8 cm when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid.

Open in App

Solution

The radius of each of the metallic sphere is 2cm. Therefore, the volume of each metallic sphere is

The total volume of the 16 spheres is

The internal dimension of the rectangular box is 16cm8cm8cm. Therefore, the volume of the rectangular box is

Therefore, the volume of the liquid is

Hence volume of liquid is

Suggest Corrections

Similar questions

Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimension $16 c m \times 8 c m \times 8 c m$ when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid .

Q. Metal spheres, each of radius

2 c m

, are packed into a rectangular box of internal dimension

16 c m \times 8 c m \times 8 c m

when

16

spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. (Use

π = \frac{669}{213}

)

Q. Metal spheres each of radius 2 cm are packed into a rectangular box of dimensions

16 c m \times 8 c m \times 8 c m

. When 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid.

(π = 3.14)

Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions $16 c m \times 8 c m \times 8 c m$ . when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. $[u s e π - 31.4]$

Q. Metal spheres, each of radius

2 c m

are packet into a rectangle box of dimension

16 c m \times 8 c m \times 8 c m

. When

16

spheres are packed, the box is filled with preservative liquid Find the volume of the liquid.

Join BYJU'S Learning Program