Question

What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that apply.

Answer 1

Answer:

B) The cone and cylinder have the same base area.

C) The volume of the cone is One-third the volume of the cylinder.

E) The

Step-by-step explanation:

i) The cone and cylinder have the same base area. Since they both have the same radius measures. And formula for base area of cone = πr² base area of cylinder = πr²

Therefore, the cone and cylinder have the same base area

ii) The volume of the cone is One-third the volume of the cylinder

The Formula's for volume a cylinder is πr²h and the volume of a Cone is 1/3πr²h.

And since they both have the same radius and height measurement, So the volume of a cone is one-third the volume of a cylinder.

iii) The cone and cylinder have the same diameter.

Since they both have same radius measures and diameter = 2*radius.

Therefore, the cone and cylinder have the same diameter.

Answer 2

Answer:

I) The cone and cylinder have the same base area.

ii) The volume of the cone is One-third the volume of the cylinder.

iii) The cone and cylinder have the same diameter

Step-by-step explanation:

i) The cone and cylinder have the same base area.

Since they both have the same radius measures. And formula for

base area of cone = πr²

base area of cylinder = πr²

Therefore, the cone and cylinder have the same base area

ii) The volume of the cone is One-third the volume of the cylinder

The Formula's for volume a cylinder is πr²h and the volume of a Cone is 1/3πr²h.

And since they both have the same radius and height measurement, So the volume of a cone is one-third the volume of a cylinder.

iii) The cone and cylinder have the same diameter.

Since they both have same radius measures and diameter = 2*radius.

Therefore, the cone and cylinder have the same diameter.