Question

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

The cone has the greater volume.
The cone and cylinder have the same base area.
The volume of the cone is One-third the volume of the cylinder.
The cylinder can fit inside the cone.
The cone and cylinder have the same diameter.

Answer 1

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

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

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

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.