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Nata [24]
3 years ago
7

Which numbers are a distance of two units from eighths on a number line?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

\Huge \boxed{\mathrm{-1.875 \ and \ 2.125}}

\rule[225]{225}{2}

Step-by-step explanation:

Eighths is 1/8 or 0.125.

Two units of distance from 0.125 can be :

0.125-2=-1.875 \\\\\\ 0.125+2=2.125

\rule[225]{225}{2}

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Step-by-step explanation:

Step 1:

The given styrofoam collar is a hollow cylinder. A hollow cylinder consists of an outer radius and an inner radius.

This given hollow cylinder has an outer radius of 8 inches and an inner radius of 5 inches. The height of the cylinder is 16 inches.

To calculate the volume of a hollow cylinder we subtract the volume of a cylinder constructed with the inner radius from the volume of a cylinder with the outer radius.

Step 2:

The volume of a cylinder, V = \pi r^{2} h.

For the outer cylinder, r = 8 inches and h=16 inches.

The volume of the outer cylinder, V_{1} = \pi (8^{2})(16) = 3,216.99.

For the inner cylinder, r = 5 inches and h=16 inches.

The volume of the inner cylinder, V_{2} = \pi (5^{2})(16) = 1,256.637.

Step 3:

The volume of the styrofoam collar = V_{1} -V_{2},

The volume of the styrofoam collar = 3,216.99-1,256.637 = 1,960.353.

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