Step-by-step explanation:
step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi
step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi
step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3
step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).
step 5. the answer is not 6.5 but is 6.5(pi) or 6.5 times pi.
The lateral surface area is the surface area of the sides of any three dimensional figure. Each figure may have a different base, but the lateral surface area is found the same way. Find the perimeter of the base and then multiply it by the height for any three-dimensional prism.