SOLUTION: how to take out the volume and surface area of this shape? https://www.flickr.com/photos/123400688@N08/13945241485/ The answer at the back of the book is 32340 cm^3 and 5082

Algebra ->  Volume -> SOLUTION: how to take out the volume and surface area of this shape? https://www.flickr.com/photos/123400688@N08/13945241485/ The answer at the back of the book is 32340 cm^3 and 5082       Log On


   

Question 865176: how to take out the volume and surface area of this shape?
https://www.flickr.com/photos/123400688@N08/13945241485/
The answer at the back of the book is 32340 cm^3 and 5082 cm^2.
Please explain me in detail and also give the solution.
Please help.
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's a cone + 1/2 a sphere.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we have two shapes here, a cone and a hemisphere
volume of the cone = pi*r^2*(h/3) = pi*21^2*28/3 = 12931
surface area of cone = pi*r*s = pi*21*35 = 2309
volume of hemisphere = (2/3)*pi*r^3 = (2/3)*pi*21^3 = 19396
surface area of a hemisphere = 2*pi*r^2 = 2*pi*21^2 = 2771
total volume = 12931 + 19396 = 32327 cm^3
total surface area = 2309 + 2771 = 5080 cm^2