In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches. What will be the radius of the container, to the nearest tenth of an inch? volume being 258.75 cubic inches

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:

https://brainly.com/question/16134180

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