Answer:
The canister’s volume is unoccupied by tennis balls is 37.28 inches cube.
Step-by-step explanation:
Given : A cylindrical canister contains 3 tennis balls. Its height is 8.75 inches, and its radius is 1.5. The diameter of one tennis ball is 2.5.
To find: How much of the canister’s volume is unoccupied by tennis balls?
Solution :
The tennis ball is in sphere shape.
The diameter of one tennis ball is 2.5.
The radius of one tennis ball is [tex]\frac{2.5}{2}=1.25[/tex].
The volume of 1 tennis ball is [tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}(3.14) (1.25)^3[/tex]
[tex]V=\frac{4}{3}(3.14)(1.953125)[/tex]
[tex]V=8.177 in^3[/tex]
Volume of 3 Tennis ball is
[tex]V=8.177\times 3=24.53 in^3[/tex]
A cylindrical canister - height is 8.75 inches and radius is 1.5.
The volume of the cylindrical canister is [tex]v=\pi r^2h[/tex]
[tex]v=(3.14)(1.5)^2(8.75)[/tex]
[tex]v=(3.14)(2.25)(8.75)[/tex]
[tex]v=61.81875 in^3[/tex]
Unoccupied space is
[tex]S= v-V[/tex]
[tex]S= 61.81-24.53[/tex]
[tex]S= 37.28in^3[/tex]
The canister’s volume is unoccupied by tennis balls is 37.28 inches cube.
