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Tonya has a wastebasket shaped as a cylinder. The wastebasket measures 20 inches tall and has a radius of 5 inches. 

Devon threw a cylinder-shaped snack container into the wastebasket.The snack container has a radius of 4 inches and a height of 6 inches.

What is the approximate amount of space left with the snack container inside the wastebasket? 

Respuesta :

The amount of space left with the snakd container inside the wastebasket=
=(volume of the wastebasket) - (volume of the sanak container)

Volume (cylinder)=area of the circle * height

1) We calculate the volume of a wastebasket:
area of the circle=πr²=π(5 in)²=25π in²
heigth=20 in.

Volume=25π in² * 20 in=500π in³.

2) we calculate the volume of the snack container:
area of the circle=πr²=π(4 in)²=16π in²
heigth=6 in.

Volume=16π in² * 6 in=96π in³

3) we calculate the amount of space left with the sanak container inside the wastebasket.

amount of space left=500π in³ - 96π in³=404π in³

404π in³=404 * 3.141592654...in³≈1269.2 in³

Answer: 404π in³    or  ≈1269.2 in³

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