The height of one metallic cylindrical rod is 6 centimeters and its radius is 3 centimeters. The height of a second metallic cylindrical rod is 18 centimeters and its radius is 3 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder

The ratio of the volume of the second cylinder to the volume of the first cylinder is 3 : 1

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant

Considering the metallic cylindrical rod,

Radius = 3 cm

Height = 6 cm

Volume = π × 3² × 6 = 54π cm³

Considering the second metallic cylindrical rod,

Radius = 3 cm

Height = 18 cm

Volume = π × 3² × 18 = 162π cm³

The ratio of the volume of the second cylinder to the volume of the first cylinder is

162π/54π = 3/1

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -