Respuesta :
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.
Step-by-step explanation:
The given is,
Volume of cylindrical vase = 8038.4 cubic centimeters
Height of the cylindrical vase = 40 centimeters
Step:1
Formula for volume of cylindrical vase,
[tex]Volume, V=\pi r^{2} h[/tex]......................(1)
Where, r - Radius of cylindrical vase
h - Height of cylindrical vase
From the given,
V = 8038.4 cubic centimeters
h = 40 centimeters
Equation (1) becomes,
8038.4 [tex]= \pi r^{2} 40[/tex]
[tex]=(3.14)(40)r^{2}[/tex] (∵ [tex]\pi[/tex] = 3.14 )
[tex]8038.4 = 125.6 r^{2}[/tex]
[tex]r^{2} = \frac{8038.4}{125.6}[/tex]
[tex]r =\sqrt{64}[/tex]
r = 8 centimeters
Result:
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.
