We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is 
.
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:
Upon substituting in volume of cone, we will get:
We know that volume of sphere is 
.
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.
Since 
, so volume of sphere would be:
Therefore, volume of sphere would be 226.08 cubic mm.
Slope = change in y / change in x
slope = (9 - -5) / ( 6-0)
Slope = 14/6
Divide by 2
Slope = 7/3
Answer: B. 7/3
Answer:
$13.20/hr
Step-by-step explanation:
A 10% wage increase would amount to 0.10($12) = $1.20. Adding this increase to the starting rate $12/hr results in $13.20/ hr.
A faster way in which to do this is shown below:
Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr
A set of equation can be set up:
a=b+15
3(a+b)=345
where a is the faster and b is the slower bus.
substitute b+15 into the second equation, so 6b+45=345, and 6b=300, therefore b=50.
we can then figure out that a=65
