A cylinder shaped contained has the capacity of 50 liters. The height of the cylinder is 0.7 m. Find the diameter of the cylinder. Give your answer correct to the nearest whole number. 

A cylinder shaped contained has the capacity of 50 liters. The height of the cylinder is 0·7 m. Find the length of the diameter of the cylinder.
Give your answer correct to the nearest whole number. 

Expert Answers

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You need to notice that the problem provides the capacity and the height using different units of measure, hence, you need to use the same units of measure, thus, you need to convert the liters into cubice meters such that:

`50 liters = 0.05 m^3`

Since the shape of container is cylindrical, you need to use the following formula of volume such that:

`V = pi*r^2*h`

r represents the radius of cylinder

h represents the height of cylinder

`0.05 = pi*r^2*0.7 => r^2 = 0.05/(pi*0.7) => r = sqrt(0.05/(pi*0.7)) => r~~0.388`

You need to find the diameter such that:

`D = 2*r => D = 0.776 m`

Hence, evaluating the diameter of container yields `D ~~ 0.78 ` meters.

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