A cylinder has a height that is twice the length of the diameter. The diameter of the cylinder is 10 centimeters. What is the su rface area of the cylinder?
1 answer:
Answer:
Step-by-step explanation:
Givens
pi = 3.14
d = 10 cm
h = 2*d
Formula
The top of the cylinder is a solid circle. So the area of the circle is pi r^2 There is both a top and bottom to the circle so the fomula is 2*pi*r^2
The surrounding area of the cylinder is the circumference of the circle times the height. The circumference of the circle is 2*pi*r. Then you just multiply by the height. formula = 2*pi * r * h
The combined formula is given below.
SA = 2*pi*r^2 + 2*pi*r * h
Conversions
d = 10 cm
h = 2*10
h = 20 cm
r = d/2
r = 10 / 2
r = 5cm
Solution
SA = 2*pi*r^2 + 2*pi*r * h
SA = 2*3.14*5^2 + 2*3.14*5*20
SA = 157 + 628
SA = 785 cm^2
Answer: The surface area is 785 cm^2
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