Question

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is

Answer 1

water in cylinder = 1.179π in³

Further explanation

Volume is a derivative quantity derived from the length

The unit of volume can be expressed in liters or milliliters or cubic meters

The volume of the cylinder

V = πr².h

the volume of ball

V= 4/3πr³

volume of cylinder

$\tt V=\pi.9^2.15=1215\pi$

volume of the ball

$\tt V=\dfrac{4}{3}\pi.r^3\\\\V=\dfrac{4}{3}.\pi.3^3=36\pi$

water in the cylinder

V cylinder - V ball

$\tt 1215\pi-36\pi=1179\pi$