1. consider a cylinder with radius 4 cm and a height of 12 cm. determine the volume of the given cylinder. describe how to calculate the volume and explain what the volume means.

↪Hola user

⭐Here is Your Answer...!!!

↪SURFACE AREAS AND VOLUMES

↪The VOLUME of any object is nothing but the the capacity to hold the amount of substance inside it . It defines the Amount of substance that can occupied bythe object inside it ..

↪Volume = Base Area × Height

↪thus for the Cylinder ; Volume of cylinder = Pi(R^2) × H

↪thus volume = 3.14 × R^2 × H

↪thus here given as R = 4 cm and H = 12cm

↪Volume = 3.14 × 16 × 12= 602.88 cm^3

thus

↪the Volume of the Cylinder = 602.88 cm^3

⚓〽⭐

=192 pi  cm^3

  602.88 cm^3

Step-by-step explanation:

We know the radius of a cylinder is 4 and the height is 12

We need to find the volume.

The volume is how much material can be put into the space.

Think of filling a can with water.  How much water can we put in the can?

That will be the volume.

V cyclinder = pi * r^2 h,  which is the area of the base  times the height

                   = pi * 4^2 *12

                   = pi * 16*12

                     =192 pi  cm^3

When we approximate pi as 3.14

                     = 3.14 (192)

                    602.88 cm^3

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step-by-step explanation: