Respuesta :
Answer:
21.5625
Step-by-step explanation:
So You would divide 258.75 / 12 = 26.5625
The radius of container is 2.6 inch.
What is volume?
The amount of space occupied by a three dimensional figure as measured in cubic units.
Formula for the volume of cylinder
[tex]volume of cylinder= \pi r^{2} h[/tex]
where,
r is the radius
h is the height
According to the given question
shape of the container is cylindrical.
Height of the container, h = 12 inches
Volume of container = 258.75 cubic inches
for the radius of the container
volume of container = [tex]\pi r^{2}h[/tex]
258.75 = 3.14×[tex]r^{2}[/tex]×12
258.75 =37.68×[tex]r^{2}[/tex]
[tex]\frac{258.75}{37.68} =r^{2}[/tex]
[tex]6.9=r^{2}[/tex]
⇒ [tex]r = \sqrt{6.9} =2.62inch[/tex] = 2.6 inch
Hence, the radius of container is 2.6 inch.
Learn more about the volume of cylinder here:
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