A cylinder has a radius of 5 cm and a height of 16 cm. Another cylinder is four times as tall but has the same radius. How does the volume of the second cylinder compare to that of the first?

The answer to your question is 4 times bigger.

Step-by-step explanation:

Data

radius = 5 cm

height = 16 cm

Cylinder 2, 4 times taller the radius is the same

Process

1.- Calculate the volume of the first cylinder

Volume 1 = πr²h

-Substitution

Volume = π(5)²(16)

-Simplification

Volume = 400π cm³

2.- Calculate the volume of the second cylinder

height = 4(16)

           = 64

-Substitution

Volume = π(5)²(64)

-Simplification

Volume 2 = 1600π cm³

3.- Find the relationship between the volume

Volume 2 / volume 1 = 1600π / 400π

                                   = 4

4.- The second cylinder is 4 times bigger than the first cylinder

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.