Respuesta :
Answer:
The volume of the ball is 12.76 cube inches.
The area needed to make the cover of the ball is 26.4 square inches.
Step-by-step explanation:
Given : The diameter of a certain ball is 2.9 inches. If the ball is covered in material.
To find : What is the volume of the ball? How many square inches are needed to make the cover of the ball?
Solution :
The diameter of a certain ball is d=2.9 inches.
The radius of the ball is [tex]r=\frac{2.9}{2}=1.45[/tex] inches.
The volume of the ball is given by, [tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}\times 3.14\times (1.45)^3[/tex]
[tex]V=\frac{4}{3}\times 3.14\times 3.048625[/tex]
[tex]V=12.76\ in.^3[/tex]
The volume of the ball is 12.76 cube inches.
The area of the ball is given by, [tex]A=4\pi r^2[/tex]
[tex]A=4\times 3.14\times (1.45)^2[/tex]
[tex]A=4\times 3.14\times 2.1025[/tex]
[tex]A=26.40\ in.^2[/tex]
The area needed to make the cover of the ball is 26.4 square inches.
