What is the surface area of an open circular cylinder? R=2' H=5'?

Question

The TOP is open.
How do I use the formula to figure the answer ?

I love how they are all different.
:P

Answer 1

pie times the diameter gives you the circumference. the diameter is the radius times two. the circumference times the height of the cylinder equals the area

pie x R x 2 times H

3.14 x 2 x 2 x 5

62.8 square inches

Answer 2

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RE:
What is the surface area of an open circular cylinder? R=2' H=5'?
The TOP is open.
How do I use the formula to figure the answer ?

Answer 3

Imagine a toilet paper tube with those dimensions. If you cut the tube down one side and flatten it out, you have a rectangle with one side '2 * pi * radius' (circumference of a circle), and the other of 'height', so the area of the rectangle is '2 * pi * radius * height'. Since it's an open cylinder, you have to add both the inside of the cylinder and the outside, so it's '2 * 2 * pi * radius * height'. If only one side of the cylinder is open (more of an opened can instead of a toilet paper roll), then you have the front and back of the circle at the bottom of the cylinder to add on, so two times the area of a circle, or '2 * pi * radius^2', for a total of '(2 * 2 * pi * radius * height) + (2 * pi * radius^2)'

Answer 4

The formula of lateral surface area of an open cylinder is 2*pi*r*h
So,the area here
=2*3.14*2*5
=62.8 sq.feet
if the base is closed,then you have to add
an additional pi*r^2 to it.
=3.14*2*2
=12.56 sq.ft
So with a closed base and an open top the surface area will become
62.8+12.56
=75.36 sq.ft

Answer 5

Area of base = π x r x r = 3.142 x 2 x 2 = 12.57ft²
Area of body = π x d x h
As d = r x 2 and r x r = 4, then the area of the body is the same as the area of the base x h.
12.57 x 5 = 62.84ft²
62.84 + 12.57 = 75.41ft² = Total surface area.

Answer 6

S.A. = Area of base + curved surface area
S.A = π.r² + 2.π.r.h
S.A = 4π + 20π
S.A = 24π
S.A. = 75.4 ft² (to 1 dec. place)