A jar of 50 sour ball candies contains only 3 flavors. If there are 18 orange, 12 lemon, and 20 cherry sour balls, what is the p
1 answer:
Option B. 12/ 125 is the answer.
Explanation
Total umber of sour ball candies = 50
Number of lemon candies = 12
Hence the probability to get a lemon candy is = 12/50
Number of cherry sour balls = 20
So, the probability to get a cherry sour ball = 20/50
So, to get the joint probability for a random selection to either get a lemon or cherry candy, we will multiply both the probabilities.
=
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Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:
Where, r is the radius of the hemisphere.
Volume of cylinder is:
Where, r is the radius of the cylinder and h is the height of the cylinder.
We know that,
[Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
Volume of cone is:
Where, r is the radius of the cone and h is the height of the cone.
Now, the volume of the combined figure is:
Therefore, the volume of the given figure is 2110.08 cubic units.