Question

1 2. A sphere with radius r сm is placed inside a cube of side 2r cm. The cube with this sphere is then placed inside a cuboid with dimensions 2r cm x 3r cm x 4r cm. How many other r- radius spheres can be similarly placed within this cuboid?​

Answer 1

Step-by-step explanation:

487.6 cm

3

Volume of rectangle box=lbh=16(64)=1024cm

3

Volume of 1 sphere=

3

4

πr

3

=33.5238cm

3

Volume of 16 spheres =16(33.5238)=536.3808

Volume of liquid=1024−536.3808=487.6cm

3