Question

A glass marble has a diameter of 17 millimeters. What is the approximate volume of the marble? Use 3.14

Answer 1

Answer:

v=2571.13667 mm^3

Step-by-step explanation:

A marble is a sphere, and the volume of a sphere can be found using:

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

We need to find the radius, and we know that the radius is 1/2 of the diameter

r=d/2

r=17/2

r=8.5

Now we can substitute 8.5 in for r, and 3.14 in for pi

$v=\frac{4}{3} (3.14)(8.5^3)$

$v=\frac{4}{3} (3.14)(614.125)$

$v=\frac{4}{3}(1928.3525)$

$v=2571.13667 mm^3$