SOLUTION: Could you walk me thru this plz? A solid consists of a cone and a hemisphere mounted base to base. If the radius of the common base is 2 in. and the volume of the cone is equal

Algebra ->  Bodies-in-space -> SOLUTION: Could you walk me thru this plz? A solid consists of a cone and a hemisphere mounted base to base. If the radius of the common base is 2 in. and the volume of the cone is equal       Log On


   

Question 265658: Could you walk me thru this plz?
A solid consists of a cone and a hemisphere mounted base to base. If the radius of the common base is 2 in. and the volume of the cone is equal to the volume of the hemisphere, what is the height of the cone?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
find volume of a hemisphere which is %282%2F3%29%28pi%29%28r%5E3%29 r=2 inches
so V=16.747
Volume of a cone is %281%2F3%29%28pi%29r%5E2h r=2 V=16.747 %28pi%29=3.1416
16.747=%281%2F3%29%28pi%29%282%5E2%29h
16.747%283%29=%281%2F3%29%283%29%28pi%29%282%5E2%29h
50.241%2F4=%28pi%29%284%2F4%29h
12.56025%2F%28pi%29=%28%28pi%29%2F%28pi%29%29h
3.998=h
height of cone