If the diameter of a youth baseball is 2.8 inches and the diameter of an adult softball is 3.8 inches, what is the approximate difference in their volumes? Use 3.14 for pi . Round to the nearest tenth.
Mathematics · Middle School · Wed Jan 13 2021
Answered on
Given:
Diameter of youth baseball = 2.8 inches
Radius = 1.4 inches
( d = 2r)
Diameter of adult softball = 3.8 inches
Radius = 1.9 inches
Determine the approximate difference in their volumes.
Formula for the volume of a sphere:
V=4/3πr^3
Solution:
Solve for the volume of each ball individually.
Volume of the baseball=4/3π(1.4 inches)^3
Volume of the baseball=11.5 in^3
Volume of the softball =4/3π(1.9 inches)^3
Volume of the softball =28.7 in^3
Determine the difference in their volume, by subtracting 11.5 to 28.7
Difference in volume = 28.7 in^3 - 11.5^3
Difference in volume = 17.2 in^3
Final answer:
Difference in volume = 17.2 in^3