SOLUTION: I've tried taking out the surface area my answer is coming wrong in all my work.I keep getting 704 something. The question is: https://www.flickr.com/photos/123400688@N08/13945

Algebra ->  Surface-area -> SOLUTION: I've tried taking out the surface area my answer is coming wrong in all my work.I keep getting 704 something. The question is: https://www.flickr.com/photos/123400688@N08/13945      Log On


   

Question 865139: I've tried taking out the surface area my answer is coming wrong in all my work.I keep getting 704 something.
The question is:
https://www.flickr.com/photos/123400688@N08/13945697234/
The answer at the back of the book is 902cm^2.
Please explain me in detail and give me the solution as well.Only for the surface area.Please help.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You want to find in your textbook or some reference, the formula for surface area of a sphere. This is 4%2Api%2Ar%5E2.

The surface area for the straight side part of a cylinder is h%2A2pi%2Ar
and
The surface area for the bottom of a cylinder is pi%2Ar%5E2.

Your exercise referenced shows a straight circular cylinder capped on topped with a half-sphere. The height, h, of the straight cylinder part is 10 cm; the radius of the base is 7 cm or r; the radius of the half-sphere is also r=7 cm. Using these, the labeled total height of 17 cm has already been accounted.

The total surface area is the sum of those of the half-sphere, the straight sides, and the bottom base:
%284pi%2Ar%5E2%29%2F2%2B2%2Ah%2Api%2Ar%2Bpi%2Ar%5E2
Just simplify and substitute for r and h, and compute.
2pi%2Ar%5E2%2B2h%2Api%2Ar%2Bpi%2Ar%5E2
pi%282r%5E2%2B2hr%2Br%5E2%29
pi%283r%5E2%2B2%2Ah%2Ar%29
SUBSTITUTE THE VALUES:
3.142%283%2A49%2B2%2A10%2A7%29
3.142%28147%2B140%29
3.142%28287%29
highlight%28901.754%29 which should be rounded to highlight%28highlight%28901.8%29%29 cubic centimeters.