Question

In science class you are filling a cylindrical beaker with a fluid. The beaker has a circular base with a diameter of 4 inches and a height of 8 inches. You are filling the fluid into a tank that is shaped like a rectangular prism and has a volume of 100 cubic inches. How many times will you have to fill up the cylindrical beaker before the tank is full? Round to the nearest tenth.

Answer 1

0.9947≅1  times you have to fill up the cylindrical beaker before the tank is full.

What is volume?

Volume is defined as the space occupied by any body in the three-Dimenions. All three parameters are required for the volume like length,width and hieght of cube or cubied.

here we have a beaker of cylindrical shape the volume of the shape will be calculated as:

$\rm V=\dfrac{\pi}{4}\times d^2\times l=\dfrac{\pi}{4}\times (4)^2\times 8=100.53\ cubc\ inch$

We have a volume of rectangular prism = 100 cubic inches

So number of times the beaker fill the fluid will be calculated as:

$=\dfrac { Volume \ of\ Prism}{Volume\ of\ beaker}=\dfrac{100}{100.53}=0.9947$

hence 0.9947≅1  times you have to fill up the cylindrical beaker before the tank is full.

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