A cylinder is placed within a cube. The diameter of the cylinder is equal to the length of each side of the cube. What is the volume of the space outside the cylinder and inside the cube if the side of the cube measures 8 inches? Cube with a cylinder inside it. The sides of the cube and the diameter of the cylinder are all 8 inches.

Group of answer choices

110 cubic inches

384 cubic inches

100 cubic inches

1,097 cubic inches

Option a (110 cubic inches) is the right solution.

Step-by-step explanation:

Given:

Diameter of cylinder,

= 8 inches

Radius,

= 4 inches

Now,

The volume of space will be:

=

=

=

=

=

=

too hard the other guy did it

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.