Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimetres.The vase had a height of 50 centimetres .Find the radius of the vase.Explain your method you would use to find the radius .

Answer 1

let the radius be r cm
so the area of the base is πr^2
the area of the sleeve = 2πr(50) = 100π

πr^2 + 100π = 3000
πr^2 + 100π - 3000 = 0
using the formula and my calculator I got

r = (-100π ± √( (100π)^ - 4(π)(-3000) )/(2π)
= appr 8.79 or a negative

so the radius is appr 8.79

check:
area of base = 242.1
area of sleeve = 2757.9
total = 3000