CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16cm×8cm×8cm. 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. [use π31.4]
 
  1. 216 cm3
  2. 488 cm3
  3. 400 cm3
  4. 288 cm3


Solution

The correct option is B 488 cm3
Given, radius of each metal sphere = 2 cm
Internal dimensions of a rectangular box,
l = 16 cm, b = 8 cm and h = 8 cm
Volume of a metallic sphere =43πr3=43×3.14×(2)3
=43×3.14×8
Now, volume of 16 metallic spheres =4×3.14×8×163=100.48×163
=1607.683=535.89 cm3
Internal volume of the rectangular box
=l×b×h=16×8×8
=1024 cm3
Volume of preservative liquid = 1024 – 535.89
=488.11 cm3488 cm3
Hence, the volume of preservative liquid when 16 metallic spheres are packed in the rectangular box is 488 cm3.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image