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

Question

2 years ago

14

cup has a radius of 3 inches and a height of 5 inches, how much yogurt will fill the cone to its full capacity

1 answer:

VladimirAG [237] · Answer 1 · 2022-08-15T01:27:14+03:00

Answer:

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

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