Question

Tennis balls are sold in sets of three in a cylindrical container. Each tennis ball is about 2.6 inches in diameter. The volume the container is approximately 46.4 cubic inches

Answer 1

To calculate the depth to which Avogadro's number of table tennis balls would cover Earth, we can find the volume of a single ball, multiply it by Avogadro's number, and divide by the surface area of Earth.

Step-by-step explanation:

To calculate the depth to which Avogadro's number of table tennis balls would cover Earth, we need to first find the volume of a single ball. The given diameter is 3.75 cm, so the radius is half of that, which is 1.875 cm. Using the formula for the volume of a sphere, V = (4/3)πr^3, we can plug in the radius to find the volume of a single ball. Next, we can multiply this volume by Avogadro's number to find the total volume of all the balls. Finally, we can divide this total volume by the surface area of Earth to find the depth to which the balls would cover Earth.

Answer 2

5 balls

Step-by-step explanation:

Given data

Diameter of ball= 2.6in

radius= 1.3 in

volume of ball= 4/3πr^3

Required

The number of balls that can be in the container

v=4/3*3.142*1.3^3

v= 4/3*3.142*2.197

v=27.61/3

v=9.20 in^3

The number of balls in the container is

=46.4/9.20

=5.04

Approximately 5 balls