Question

A cylinder with height 10 inches and radius 4 inches is filled with water. The water is poured into a bowl

Answer 1

Answer:

Volume of water left in the cylinder=$76\frac{2}{3}\pi \:in^3$

Step-by-step explanation:

Height of the Cylinder=10 inches

Radius of the cylinder=4 Inches

Volume of the Cylinder

$=\pi r^2h\\=4^2*10\pi\\=160\pi\:in^3$

Radius of the Hemisphere=5 Inches

$\text{Volume of a Hemisphere}=\frac{2}{3}\pi r^3\\ =\frac{2}{3}\pi *5^3\\=\frac{250\pi}{3} in^3$

Since the Volume of the cylinder is greater than the Volume of the bowl, all the water will not fit.

$\text{Therefore: volume of water left} =160\pi-\frac{250\pi}{3}\\=76\frac{2}{3}\pi \:in^3$