What can be concluded about a cylinder and a cone with the same height and radius measures? check all that apply.
o the cone has the greater volume.
the cone and cylinder have the same base area.
the volume of the cone is
the volume of the cylinder.
the cylinder can fit inside the cone.
the cone and cylinder have the same diameter.
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✓ done

The cone and cylinder have the same base area.

The volume of the cone is 1/3 the volume of the cylinder.

The cone and cylinder have the same diameter.

Step-by-step explanation:

The Formula's for getting volume of a cylinder is V= πr^2h While the volume of a Cone is V=1/3 πr^2h. Therefore from the formula; The volume of the cone is 1/3 the volume of the cylinderThe base area is given of the cylinder and that of the cone is a circle and if the radius is the same then they have equal base area. The diameters of the base are the same as the radius are the same, D = 2r

The cone and cylinder have the same base area.

The volume of the cone is 1/3 the volume of the cylinder.

The cone and cylinder have the same diameter.

Step-by-step explanation:

Edge 2021

The correct answer is:  [A]:  " y³ + 27 " .

Explanation:

 (y + 3) (y² − 3y + 9) =

y*y²  = y³

-3y *y  =  − 3y²
 
+9*y = + 9y

  =  (y³  −  3y²  +  9y) ;

+3*y² =  + 3y²

-9*y =  − 9y

(+3)*(+9) =  + 27

  =  (3y²  −  9y  +  27) ;


→   (y + 3) (y² − 3y + 9) = 

      (y³  −  3y²  +  9y)  +  (3y²  −  9y  +  27)  =

         y³  −  3y²  +  9y  +  3y²  −  9y  +  27  = ?

Combine the "like terms":

y³ ;

− 3y² + 3y² = 0 ; [cancel out] ; 

+ 9y − 9y = 0 ; [cancel out] ;

+ 27 ;

to get:

    " y³ + 27 " ;

  →  which is:  Answer choice  [A]:  " y³ + 27 " .