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Maths-

General

Easy

Question

An insulated collar is made to cover a pipe. Find the volume of the material used to make the collar. Let r = 3 inches, R = 5 inches and h = 21 inches.

hint Hint:

Subtracting volume with r from the volume with R, we will get the volume of the material.

The correct answer is: of the material used to make the collar The volume is 1056 cubic inches.

Explanations:
Step 1 of 2:
Given, r =3 inches, R =5 inches and h= 21 inches
Volume with collar = $pi R squared h equals pi 5 squared cross times 21$
Volume without collar = $pi r squared h equals pi 3 squared cross times 21$
Step 2 of 2:
Volume of material used = volume with collar – volume without collar
$equals pi cross times 21 cross times open parentheses 5 squared minus 3 squared close parentheses$
$equals 22 over 7 cross times 21 cross times 8 cross times 2$
$equals 1056$ cubic inches
Final Answer:
of the material used to make the collar The volume is 1056 cubic inches.

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