Question

The volume of the cylindrical water tank shown below is 490π feet^3. If the tank is 10 feet high, what does its radius r equal?

Answer 1

The cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.

The volume of a cylinder having a radius of r units, and a height of h units, is given by the formula, V = πr²h.

In the question, we are asked to find the radius (r), of a cylindrical water tank, with a volume of 490π feet³, and a height of 10 feet.

Substituting the value of V = 490π feet³, and h = 10 feet, in the formula for the volume of a cylinder, V = πr²h, we get:

490π feet³ = π.(r²)(10 feet).

Rearranging this, we can write:

r² = (490π)/(10π) feet²,

or, r² = 49 feet²,

or, r = √49 feet,

or, r = 7 feet.

Thus, the cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.

Learn more about the volume of a cylinder at

brainly.com/question/9554871

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