Question

The formal for the valume v of a cylinder v=nr^(2)h,where is r is the radius of the base and h is height of the cylinder. solve the formal for h. then find the height of a cylinder with a valume of 36n cm^(2) and base with radius of 3 cm

Answer 1

The formula for the height of a cylinder is h = V / (π.r²) and the height of a cylinder with a volume of 36 cm³ and a radius of 3 cm is  4/π cm

Given a cylinder with a radius r and height h, then its volume is given by the formula:

      V = π.r².h

Where:

V = volume

r = radius

h = height

To find the formula for the height, divide both sides by π.r²

V : π.r² = π.r².h : π.r²

or,

           h = V / (π.r²)

The given parameters are:

V = 36 cm³

r = 3 cm

Substitute those parameters into the formula:

h = 36 / (π.3²)

h = 36 / (9π)

h = 4/π cm

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