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harina [27]
3 years ago
5

A cylindrical metal tin has a diameter of 12 inches and a height of of 4 inches. An ounce of popcorn takes up about 45 cubic inc

hes of space. How many tins are needed to contain 1000 ounces of popcorn? I need an answer please.
Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer: approximately 10 tins are needed to contain 1000 ounces of popcorn.

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

π is a constant whose value is 3.14

Diameter of the cylindrical tin is inches.

Radius = diameter/2 = 12/2 = 6 inches

height = 4 inches

Volume = 3.14 × 6² × 4 = 452.16 inches³

An ounce of popcorn takes up about 45 cubic inches of space.

Therefore, the number of ounces of popcorn in 452.16 cubic inches is

452.16/45 = 10.048 ounces

This means that 10.048 ounces requires 1 cylindrical tin.

Therefore, 1000 ounces will require

1000/10.048 = 99.522

Approximately 10 tins

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