Respuesta :

Answer:

3769.91 cm³

Step-by-step explanation:

For Small Cylinder:

Volume = height × π × r²

Volume = 12 cm × π × 10² cm

Volume = 3769.91  cm³

For Large Cylinder:

Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.

Volume = (height × 2) × π × (r × 2)²

Volume = (12 × 2) × π × (10 × 2)²

Volume = 24 cm × π × 20²

Volume = 30159.29 cm³

Answer:

Below.

Step-by-step explanation:

The volume of the smallest cylinder

= πr^2h

= π*10^2*12

= 1200π cm*3.

Now as the radius and height of  the large cylinder are 2 times the radius and height of the small one

Volume of the large cylinder = 2^3  = 8 times the volume of the small one

= 8* 1200π

= 9600π cm^3.