Question

a tub shaped like a cylinder with a diameter of 18 inches, And a height of 20 inches Is filled to the top with water. Six spherical balls each with a diameter of 8 inches Are placed in the tub and they sink. some water overflows the tub, this amount equals a combined volume of the spheres. Find the exact and the approximate of water that remains in the tub.

Answer 1

The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.

What is the approximate amount of water that remains in the tub?

The first step is to determine the volume of the cylinder.

Volume of the tub = πr²h

Where:

• r = radius = diameter / 2 = 18/2 = 9 inches
• h = height
• π = 3.14

3.14 x 9² x 20 = 5086.8 in³

The second step is to determine the volume of the 6 balls.

Volume of a sphere= 4/3πr³

r = diameter / 2 = 8/2 = 4 inches

6 x (3.14 x 4/3 x 4³) = 1607.68 in³

Volume that remains in the tub = 5086.8 in³  -  1607.68 in³ = 3479.12 in³

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

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