Question

A right circular cylinder has a base whose area is 154 square feet. If the height of the cylinder is 19 feet, what is its lateral surface area? Use π = 22/7

Answer 1

lateral surface area = perimeter of base x height

base area of cyclinder = pi (r^2)
A/pi = r^2
r = sqrt (A/pi)
r = sqrt (154/22/7)
base perimeter = \[2 \pi rh\]=\[\large 2(19) (\frac{22}{7}) \sqrt{\frac {154}{\frac {22}{7}}}\]

if we perform rationalization..we'll have
\[\large 2(19) (\frac{22}{7}) \frac{\sqrt{(154)(\frac{22}{7})}}{\frac{22}{7}}\]

so 22/7 gets caceled out...we're left with

\[\large 2(19) \sqrt{(154)(\frac{22}{7})}\]

i think that can be solved via calculator right? :D

Answer 2

I cant do that with my calculator...