Question

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 would use to find the radius.

Answer 1

The radius is 8.78 i did research on this question and i found out that answer.

Answer 2

area of cylinder curved surface= 2.pi.r.h;
 area of one end = pi.r²

h =  height of cylinder
r = radius of base. 

2.pi.r.(50) + pi.r² = 3000. 
So: pi.r² + 100.pi.r - 3000 = 0 
its a quardatic equation
The value of r that is > 0 and that satisfies that equation is r = 8.778. 
So radius = 8.778 cm
hope this helps