Question

Solve the formula for h.

Surface area of a cylinder:S=27m^2+2arh

a) h=S−27m^2/2ar

b) h=S/2ar−27m^2/2ar

c) h=S−27m^2/ar

d) h=S/ar−27m2/ar

Answer 1

To solve for the height h in the cylinder's surface area formula, subtract 27m^2 from the total surface area S, and then divide by the product of 2, a (pi), and r (radius).

Step-by-step explanation:

The question asks to solve for the variable h (height) in the surface area formula of a cylinder. The given surface area, S, is 27m^2 plus twice the product of pi (represented as a), radius (r), and height (h). To isolate h, we can rearrange the formula. The correct rearrangement to solve for h is obtained by subtracting 27m^2 from S, then dividing by the product of 2, a (which stands for pi), and r. The correct formula is h = (S - 27m^2) / (2ar).