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-Dominant- [34]
3 years ago
12

A cubic inch of PVC material weight 0.063 pounds per cubic inch. What’s the weight of a 36 inch piece of PVC pipe with an outsid

e diameter of 0.82 inches and an inside diameter of 0.75 inches?
A. 0.678 pounds
B. 0.783 pounds
C. 0.598 pounds
D. 0.814 pounds
Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

Option B. 0.783 pounds

Step-by-step explanation:

step 1

Find the area of a a 36 inch piece of PVC pipe with an outside diameter of 0.82 inches and an inside diameter of 0.75 inches

The area of a circle is equal to

A=\pi r^{2}

we have

r2=0.82\ in

r1=0.75\ in

assume

\pi =3.14

A=\pi (r2^2-r1^2)

substitute the values

A=(3.14)(0.82^2-0.75^2)

A=0.345086\ in^2

step 2

Find the volume of the piece of PVC

Multiply the area by its length

V=0.345086(36)=12.42\ in^3

step 3

Find the weight of the piece of PVC

Multiply the volume by its density

The density is 0.063\frac{lb}{in^3}

so

W=12.42(0.063)=0.783\ lb

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