Answer:
Height = 16.99 inches.
Step-by-step explanation:
We know, the surface area of a cylinder = 2πrh + 2πr^2
Given,
Diameter of a cylinder, 2r = 10 inches
r = 5 inches
According to the question,
2πrh + 2πr^2 = 690.8
or, 2r*π*h + 2(r^2)*π = 690.8
or, 10*3.1416*h + 2(5^2)*3.1416 = 690.8
or, 31.416h + 157.08 = 690.8
or, 31.416h = 690.8-157.08
or, 31.416h = 533.72
or, h = 533.72/31.416
or, h = 16.99
Therefore, the height of the cylinder is 16.99 inches.
