The answer is 15 in³.
The volume of the cone is:

where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:

where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:

<span>

</span>
We can include V₂ into V₁:

⇒


X>12/7 combine like terms first then solve
What do u need help with ????
Answer:
2, sqrt of 7633
Step-by-step explanation:
for now, we'll leave the 3rd side as x
y using the Pythagorean theorem, we can conclude that (1) 48^2+x^2=73^2 or (2) 48^2+73^2=x^2.
1. If we conclude the x isn't the longest, the x would be 3025 which is the sqrt of 55, now is invalid because the 2 smallest sides can't be more than the longest side when they add up 55+48>73 so that is invalid
2. Then, it leaves us with only 1 choice left! concluding that the 3rd side is the longest. Which the answer is sqrt of 7633
Answer:
$70
Step-by-step explanation:
Middletown Equation:
1c +50 = T
Sweet Shoppe Equation:
2c + 30 = T
Set equations equal to one another and solve for first for cupcakes then for cost.
1c + 50 = 2c + 30
c+ 20 = 2c
20 = c (twenty cupcakes would be ordered)
Now insert into either equation ( or both to check)
1(20) + 50 = 70
2(20)+ 30 = 70
Total cost would be $70
HOPE THIS HELPS!!!