Respuesta :
Answer:
See explanation
Step-by-step explanation:
The lateral surface area of a cylinder is calculated using:
[tex]L.S.A = 2\pi \: rh[/tex]
We have that the lateral surface area is about, 80 square inches.
Assuming the radius is 10 inches, then we substitute r=10, π=3.14 and solve for h.
[tex] 80 = 2 \times 3.14 \times 10h[/tex]
We solve for h to get:
[tex]h = \frac{80}{2 \times 3.14 \times 10 } = \frac{4}{3.14} [/tex]
[tex]h = 1.3inches[/tex]