A cylinder-shaped water tank has a diameter of 10 m and a height of 10 m. What volume of water does the tank contain when it is 75% full? Use 3.14 to approximate pi. Enter your answer as a decimal to the hundredths place in the box
volume of a cylinder = πr²h
v = (3.14)(5)²(10)
v = (3.14)(25)(10
v= 785
785 x 0.75 = 588.75
the water tank has 588.75 m of water in it, when it is 75% full.
The tank contain 588.75 cubic meters of water when it is 75% full.
Height of the water tank is 10 m.
Diameter of cylindrical shaped water tank is 10 m.
So its radius will be 5 m. ( radius is half of the diameter )
We have to calculate the capacity if the water tank when it is 75 % full.
We know that the volume of cylinder is,
\(V=\pi r^{2}\times h\)
\(V=3.14\times 5^2\times 10 \ m^3\)
\(V=3.14\times 250 \ m^3\)
\(V=785 \ m^3\)
Now 75% of this volume will be,
\(\dfrac{75}{100}\times 785 \ m^3=588.75 \ m^3\)
Hence the volume of this water tank is 588.75 cubic meters when it is 75% full.
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