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The surface area of a cylinder is 378π square centimeters. The radius is 7 cm. Apply the formula SA=2B+Ph to find the height of the cylinder

User Ellise
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1 Answer

3 votes

We have the formula for the surface area of a cylinder:

SA = 2πrh + 2πr^2

Given that the surface area is 378π cm^2 and the radius is 7 cm, we can plug in these values and solve for the height:

378π = 2π(7)(h) + 2π(7)^2

378π = 14πh + 98π

280π = 14πh

h = 20 cm

Therefore, the height of the cylinder is 20 cm.

User AESTHETICS
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