Solution -
The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.
If the length of side of the cibe = a , then radius of the sphere is
Volume of the cube = a³, volume of the sphere = π(radius)³ =
π(
)³
volume of the cube outside the sphere = volume of the cube - volume of the sphere
= π(
)³
=
=a³(1 - )
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that