Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The

Question

RUDIKE [14]

4 years ago

14

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.

Mathematics

2 answers:

kicyunya [14] · Answer 1 · 2021-12-22T15:01:46+03:00

kicyunya [14]4 years ago

3 0

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

madam [21] · Answer 2 · 2021-12-22T17:30:44+03:00

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