You have 15 gallons of lemonade to sell. You use cone-shaped cups that are 8 centimeters in diameter and 12 centimeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade? (1 gal ≈
3785 cm3
)

Respuesta :

Answer:

282.37

Step-by-step explanation:

15*3785=56775cm

use the cone formula volume to fine how many cups can be filled with the amount of lemonade.

πr^2 [tex]\frac{h}{3}[/tex]

3.14·16· [tex]\frac{12}{3}[/tex]=201.06

56775/201.06=282.37

The number of the paper cups that you need to sell all of the lemonade will be 282 paper cups.

What is the volume of a cone?

Let d be the diameter of the base circle and h be the height of the cone.

Then the volume of the cone will be

V = 1/12 x πd² x h

You have 15 gallons of lemonade to sell.

You use cone-shaped cups that are 8 centimeters in diameter and 12 centimeters tall.

Then the volume of the cone will be

V = 1/12 x π(8)² x 12

V = 201.06

V ≈ 201 cubic cm

The amount of lemonade will be

⇒ 15 x 3785

⇒ 56775 cubic cm

Then the number of the paper cups that you need to sell all of the lemonade will be

⇒ 56775 / 201

⇒ 282.46

⇒ 282 paper cups

More about the volume of the cone link is given below.

https://brainly.com/question/1984638

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