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MrRissso [65]
2 years ago
13

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 vo

lume of the space outside the cylinder and inside the cube if the side of the cube measures 10 inches?
Mathematics
1 answer:
pochemuha2 years ago
5 0

The volume of a shape is the amount of space in it.

<em>The volume outside the cylinder, but inside the cube is 214.6 cubic inches</em>

The given parameter is:

l = 10 ---- length of the cube

So, the volume of the cube is:

V_1 = l^3

V_1 = 10^3

V_1 = 1000

The volume of the cylinder is:

V_2 = \pi r^2h

The diameter (d) of the cylinder equals the length of the cube.

This means that:

d = l

d = 10

Divide by 2 to calculate the radius of the cylinder

r = \frac{10}{2}

r = 5

Also, the height of the cube is::

h =l

h =10

So, we have:

V_2 = \pi r^2h

V_2 = \pi \times 5^2 \times 10

V_2 = \pi \times 25 \times 10

V_2 = \pi \times 250

V_2 = 785.4

So, the volume (V) outside the cylinder is:

V = V_1 - V_2

V = 1000 - 785.4

V = 214.6

Hence, the volume outside the cylinder is 214.6 cubic inches

Read more about volumes at:

brainly.com/question/15861918

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