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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
You may recall that you can't take the square root of a negative number (if you want a real number). So, the area under the square root, also known as the radicand, must be zero or positive. This is how we restrict the domain.
We write the inequality
.
B
We write the inequality
B