The diameter of a certain ball is 2.9 inches. What is the volume of the ball? (Round your answer to two decimal places.) in The ball is covered in material. How many iquare inches are needed to make the cover of the ball? (Round your answer to one decimal place.)
Accepted Solution
A:
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.