## dietrich_harmon 2 years ago 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.

1. dietrich_harmon

?

2. kropot72

lateral area of cylinder = circumference * height$A _{l}=2\times \pi \times r \times h\ ...........(1)$ area of base is given by$A _{b}=\pi \times r ^{2}\ ...........(2)$ $A _{l}+A _{b}=3000=(2\times \pi \times r \times 50)+(\pi \times r ^{2})\ ........(3)$ You can form a quadratic equation from (3) and one of the solutions is the radius.

3. dietrich_harmon

is this the answer because i don't understand at all..lol

4. kropot72

The quadratic equation is as follows: $\pi r ^{2}+100\pi r-3000=0$ You need to solve this to find r the radius of the vase.

5. dietrich_harmon

@Hero

6. dietrich_harmon

8.78 cm

7. dietrich_harmon

@kropot72

8. dietrich_harmon

is my answer right 8.78 cm

9. kropot72

How did you get that answer?