Respuesta :
The radius of the cylinder is 8 inches.
Given,
In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches.
We need to find the radius of the container to the nearest 10th of an inch.
What is a cylinder?
A cylinder is a three-dimensional solid that has two parallel bases joined by a curved surface, at a fixed distance.
The volume of a cylinder is given by: π r² h.
The relation between the radius of the base and the height of a cylinder is that the ratio between the radius of the base and the height of a cylinder is 2:3.
We have,
The container will have a height of 12 inches.
The container is like a cylinder.
Height of the cylinder = 12 inches.
Using the relationship between radius and height of a cylinder.
= Radius: Height
= 2 : 3
Let radius be 2x and height be 3x.
We have,
Height = 3x = 12 inches.
Radius = 2x
Find the value of x.
3x = 12 inches
x = 12 / 3 inches
x = 4 inches.
Now,
Put x = 4 inches in radius =2x.
Radius = 2x
Radius = 2 x 4
Radius = 8 inches.
Thus the radius of the cylinder is 8 inches.
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