Respuesta :
The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.
Step-by-step explanation:
The given is,
Trash can has a height of 24.90 inches
Diameter of 15.50 inches
Step:1
Formula to calculate the volume of cylinder,
[tex]Volume, V = \pi r^{2} h[/tex].............................(1)
Where, r - radius of cylinder
h - Height of cylinder
From given,
h - 24.90 inches
D - 15.50 inches
Diameter to radius conversion,
[tex]Radius, r = \frac{d}{2}[/tex]
[tex]= \frac{15.50}{2}[/tex]
r = 7.75 inches
Equation (1) becomes,
[tex]V = \pi (7.75^{2} )(24.90)[/tex]
[tex]= \pi (60.0625)(24.90)[/tex]
[tex]=\pi (1495.556)[/tex]
[tex]=(3.1416) (1495.556)[/tex] (∵ [tex]\pi = 3.1416[/tex] )
= 4698.42
≅ 4698 cubic inches
Volume of trash can, V = 4698 cubic inches
Result:
The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.
