Question

a spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. which expression gives the volume a sphere in cubic centimeters?

Answer 1

Answer:

$V=\frac{2,048}{3}\pi\ cm^3$

Step-by-step explanation:

we know that

The volume of the sphere is given by the formula

$V=\frac{4}{3}\pi r^{3}$

we have that

$r=16/2=8\ cm$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (8)^{3}$

$V=\frac{2,048}{3}\pi\ cm^3$