Aspirin is melted and half of the metal liquid is used to form 11 identical cubes where is the remaining half is used to form 7 ID nikal smallest pairs ratio of sides of cube to the radius of the new small sphere is
Answers
Answered by
2
ratio of sides of cube to the radius of the new small sphere = 2/∛3
Step-by-step explanation:
Aspirin is melted
Let say Volume of Aspirin = 2V cm³
Then Volume of 11 identical cubes = 2V/2 = V cm³
Volume of 7 identical spheres = 2V - V = V cm³
Let say side of cube = a
then Volume of 11 Cubes = 11 a³
=> 11 a³ = V
=> a³ = V/11
Let say radius of sphere = r
then Volume of 7 Spheres = 7 * (4/3)π r³
= 7 * (4/3)(22/7) r³
= 88 r³ / 3
=> 88 r³ / 3 = V
=> r³ = 3V/88
a³ / r³ = (V/11)/(3V/88)
=> a³ / r³ =8/3
=> a / r = 2/∛3
ratio of sides of cube to the radius of the new small sphere = 2/∛3
Learn more:
sphere, cube, cylinder, cuboid & cone
https://brainly.in/question/13532326
A mineral contains a cubic and spherical cavity. The length of the ...
https://brainly.in/question/9063718
Similar questions