Question

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

Answer 1

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