SOLUTION: a solid consist of a right circular cylinder of diameter 20cm and altitude 10cm surmounted by a cone of base diameter 20cm and altitude 6cm. find the total volume of the solid and

Algebra ->  Surface-area -> SOLUTION: a solid consist of a right circular cylinder of diameter 20cm and altitude 10cm surmounted by a cone of base diameter 20cm and altitude 6cm. find the total volume of the solid and      Log On


   

Question 954011: a solid consist of a right circular cylinder of diameter 20cm and altitude 10cm surmounted by a cone of base diameter 20cm and altitude 6cm. find the total volume of the solid and find the total surface area of the solid
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
r=radius=1/2d=10cm d=diameter=20cm; h=altitude of cylinder=10cm; a=altitude of cone
Volume of cylinder=%28pi%29%28r%5E2%29%28h%29
Volume of cone=%28pi%29%28r%5E2%29%28a%2F3%29
Total vol=%28pi%29r%5E2%28h%2B%28a%2F3%29%29=%28pi%2910%5E2cm%5E2%2810cm%2B%286cm%2F3%29%29=1200%28pi%29cm%5E3
ANSWER 1: Total volume of the solid is 1200%28pi%29cm%5E3
Surface area of cylinder (open top)=%28pi%29%28r%5E2%29%2Bd%28pi%29h
Surface area of cone=%28pi%29r%28sqrt%28a%5E2%2Br%5E2%29%29 (without base)
Total surface area
Cylinder=%28pi%2910%5E2cm%5E2%2B%28pi%2920cm%2810cm%29=pi%28100cm%5E2%2B200cm%5E2%29=300%28pi%29cm%5E2
Cone=%28pi%29%2810cm%29sqrt%286%5E2cm%5E2%2B10%5E2cm%5E2%29=%28pi%29%2810cm%29sqrt%28136cm%5E2%29=%28pi%29%2810cm%29%2811.67cm%29=116.7%28pi%29cm%5E2
Area cylinder without top and cone without base=300%28pi%29cm%5E2%2B116.7%28pi%29cm%5E2=416.7cm%5E2