The small cylinder can fill
the big cylinder to a height
of 5 cm.
Work out the radius
of the big cylinder.

The radius  of the big cylinder is 5.857 cm and this can be determined by using the formula of volume of the cylinder.

Given :

First, find the volume of the small cylinder. The volume of the cylinder is given by the formula:

where 'r' is the radius of the cylinder and 'h' is the height of the cylinder.

Now, substitute the values of the radius 'r' and height 'h' of the small cylinder in the above formula.

Now, it is given that the small cylinder can fill  the big cylinder to a height  of 5 cm that is:

r = 5.857 cm

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5.857 cm

Step-by-step explanation:

A cylinder's volume is given by the formula:

-The small cylinder's dimensions are d=7, h=14, it's volume is calculated as:

We are told that this volume fills the big cylinder to a height of 5cm.

#We equate this volume to the big cylinder's 5cm and solve for r:

Hence, the radius of the big cylinder is 5.857 cm

the answer to this question is 3/19

step-by-step explanation: