Hello,
P(x)=x^3-5x^2+14x-5
P(-3)=(-3)^3-5*(-3)²+14*(-3)-5=-119
Remainder=-119
Correct question:
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.
Answer:
6 units
Step-by-step explanation:
Let, radius, r = x
Height, h = 3x
Volume, V = 24π
Volume of cylinder = =πr²h
24π = π * x² * 3x
24π = π* 3x³
24 = 3x³
24 / 3= x³
8 = x³
x = 2
Height, h = 3x
h = 3(2) = 6 units
Multiply 10 and 3 then subtract five from 10 add the product and the difference add that sum to 10
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:

⇒


Lxwxh using your numbers its 3x3x3 or 3³ so your answer is 27