A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt and customers pay $0.08 per cubic inch. If each cup has a radius of 3 inches and height of 5 inches what would it cost to fill the cone to its full capacity

Answer: it will cost $3.768 to fill the cone to its full capacity.

Step-by-step explanation:

The frozen yoghurt is filled in cone shaped cups. The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height if the cone.

r represents the radius of base of the cone.

π is a constant whose value is 3.14

From the information given,

r = 3 inches

h = 5 inches

Volume = 1/3 * 3.14 * 3² * 5 = 47.1inches³

If customers pay $0.08 per cubic inch, it means that the amount that it would cost to fill the cone to its full capacity is

0.08 * 47.1 = $3.768

3.77

Step-by-step explanation:

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