Erica made a cylindrical pottery vase with a height of 45 cm and a diameter of 14 cm. 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 to the nearest tenth.

The answer to your question is: 8.8 cm

Step-by-step explanation:

Data

total area = 3000 cm²

height = 50 cm

radius = ?

Formula

Total area = lateral area + base area = 2πrh + πr²

3000 = 2 (3.1416) (50) r + (3.1416) r²

3000 = 314.16r + 3.1416r² = 3.1416r² + 314.16r - 3000 = 0

Solve the equation with the quadratic formula

r1 = 8.77 r 2 = - 108.78 (this answer is incorrect because is negative)

The answer is 8.8cm good luck