A spherical scoop of ice cream is placed on top of a hollow ice cream cone. the scoop and cone have the same radius. the ice cre
am melts completely and it fills the cone to the top. how many times greater is the height of the cone than the radius of the cone?
1 answer:
The figure shown below illustrates the problem.
The volume of the empty cone is
V₁ = (1/3) π r²h
The volume of the sphere is
V₂ = (4/3) π r³
Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r
Answer:
The height of the cone is 4 times greater than the radius f the cone.
The volume of the empty cone is
V₁ = (1/3) π r²h
The volume of the sphere is
V₂ = (4/3) π r³
Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r
Answer:
The height of the cone is 4 times greater than the radius f the cone.
You might be interested in
Answer:
Pierre operates at a greater power level than Marie.
Marie and Pierre do the same amount of work
Step-by-step explanation:
Mass of crate=60kg
Height of truck bed=1 m
Time=3s
Pierre's work done=
Using formula Work done=mgh
Where m=mass of object
g=Acceleration due to gravity=9.8
Power=
Using the formula
Pierre's power=
Mass of box=2.5Kg
Total number of boxes=24
Total mass of boxes=
Time=2 min=
1 min=60 s
Marie;s work done=
Marie's power=
Pierre operates at a greater power level than Marie.
Marie and Pierre do the same amount of work
For this case we have that by definition, the area of a triangle is given by:
Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the statement data we have:
Substituting we have:
We divide between 2 on both sides:
We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.
These numbers are +11 and -8.
We have two roots:
We choose the positive value.
Thus, the base of the triangle is:
Answer:
The base of the triangle is 22 units.