Respuesta :

Answer:

Radius = 4 cm

Area = 16π cm²

Volume = 240π cm³

Step-by-step explanation:

Radius of the given cylinder = [tex]\frac{\text{diameter of the circular base}}{2}[/tex]

                                               = [tex]\frac{d}{2}[/tex]

                                               = [tex]\frac{8}{2}[/tex]

                                               = 4 cm

Area of the circular base = [tex]\pi r^{2}[/tex]

Here 'r' = radius of the circular base

Area of the base = [tex]\pi (4)^{2}[/tex]

                            = 16π cm²

Volume of a cylinder is given by the formula,

V = πr²h

Here 'r' = radius of the circular base

h = height of the cylinder

By substituting the values in the formula,

V = π(4)²(15)

   = 240π cm³