Erica’s friend Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase had a height of 50 centimeters. Find the radius of the vase. Explain the method you use to find the radius
cylinder surface area of lateral area and 1 base is 2hpir+pir^2 height=50
so 3000=2hpir+pir^2 where h=50 3000=2(50)pir+pir^2 3000=100pir+pir^2 solve for r divide both sides by pi 3000/pi=r^2+100r 0=r^2+100r-3000/pi using quadratic formula r=8.77865 or -108.77 we can't have negative radius
