Question

the height of a cylinder is three times the diameter of the base . The surface area of thre ylinder is 126pi ft^2. What is thr radius of the base?

Answer 1

The answer is 3 ft

The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)

We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r

126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3

Answer 2

Answer:

3 ft

Step-by-step explanation: