Answer:
1: 3 ratio of the volume of the cone to the volume of the cylinder
Step-by-step explanation:
Volume of cone(V) is given by:
where, r is the radius and h is the height of the cone.
Volume of cylinder(V') is given by:
where, r' is the radius and h' is the height of the cylinder.
As per the statement:
A cylinder and a cone have congruent heights and radii.
⇒r = r' and h = h'
then;
⇒
Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3
Answer:
Step-by-step explanation:
<u><em>Given Equation is </em></u>
=>
Comparing it with , we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β =
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots =
Sum of Roots =
Sum of Roots =
Sum of roots =
Sum of roots =
Sum of Roots =
Sum of roots =
Sum of roots = S =
Product of Roots =
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=>
=>
=>
=>
This is the required quadratic equation.