Lydia purchased 10 cylinders of water for her pet Fido. Each cylinder 12 inches tall and had a diameter of 18inches. How many cubic inches of water did Lydia purchase ffor Fido

30548.57 cubic inches of water

Step-by-step explanation:

Given:

Lydia purchased 10 cylinders of water for her pet Fido.

Each cylinder 12 inches tall and had a diameter of 18 inches.

Question asked:

How many cubic inches of water did Lydia purchase for Fido ?

Solution:

To find cubic inches of water Lydia purchased, first of all we will have to find the volume of each cylinder and then multiply by 10:-

Diameter of cylinder = 18 inches

Radius, r =

Height of each cylinder, h = 12 inches

As we know:

Volume of 10 cylinders = 3054.857 10 = 30548.57 cubic inches.

Thus, Lydia purchased 30548.57 cubic inches of water for Fido.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.