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Mathematics 5 Online
OpenStudy (lisa2345):

Find the surface area for the right cylinder

OpenStudy (lisa2345):

OpenStudy (unklerhaukus):

The surface area of a right cylinder is composed of its two circular bases, and the lateral surface area. The lateral surface is a rectangle.

OpenStudy (unklerhaukus):

The area of a circle (or radius \(r\)) is \(\pi r^2\), The area of a rectangle (of height \(h\), and width \(w\)) is \(hw\). The width of the rectangle, is the circumference of a circle. The circumference of a circle is \(2\pi r\).

OpenStudy (unklerhaukus):

Can you find the area of one of the bases first?

OpenStudy (lisa2345):

2*3.14*15^2

OpenStudy (unklerhaukus):

There is no `2*`, in the area of a circle

OpenStudy (lisa2345):

the way I was just taught was 2*pi*r^2 + 2*pi*r*h

OpenStudy (unklerhaukus):

oh. then you have found the are of both bases at once. each of the circular bases has the area πr^2, and there are two

OpenStudy (unklerhaukus):

If you already have SA = 2*pi*r^2 + 2*pi*r*h i guess you can just use it.

OpenStudy (unklerhaukus):

what do you get for the lateral surface area w h = 2πr h = ?

OpenStudy (unklerhaukus):

@lisa2345

OpenStudy (lisa2345):

Got the answer thanks

OpenStudy (unklerhaukus):

ok

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