Acylinder and a cone have congruent heights and radii. what is the ratio of the volume of the cone to the volume of the cylinder?

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

x+14

step-by-step explanation:

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared