The formula for the lateral surface area of a cylinder is s=2πrh, where r is the radius of the bases and h is the height.

Solve for h.

A)h=2Sπr

B)h=Sr/2π

C)h=r/2Sπ

D)h=S/2πr

Respuesta :

D
[tex]s = 2\pi \times r \times h \\h = \frac{s}{2\pi \times r} [/tex]

Lateral surface area of cylinder = 2*[tex] \pi [/tex] *r * h

S = 2*[tex] \pi [/tex] *r * h

Solve for h means we have to make h alone. As there is a multiplication sign between 2 , [tex] \pi [/tex] , r and h so we will use opposite operation of multiplication which is division.

So to make h alone, we will divide by side by 2*[tex] \pi [/tex] * r

h = [tex] \frac{S}{2\pi \times r} [/tex]

Option D is the answer