Question

an oblique cylinder has radius of 15 units and a surface area of 990π square units. what is the height? show your work here

Explanation:

Step1: Write the formula for the surface area of an oblique cylinder

The surface area formula for an oblique cylinder is the same as that of a right - cylinder, \(S = 2\pi r(r + h)\)

Step2: Substitute the given values into the formula

Given \(S=990\pi\) and \(r = 15\). Substitute into \(S = 2\pi r(r + h)\):

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Step3: Solve for \(h\)

Divide both sides of the equation \(990\pi=30\pi\times(15 + h)\) by \(30\pi\):

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Subtract \(15\) from both sides: \(h=33 - 15=18\)

Answer:

$18$