Answer:
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 = [tex]\frac{diameter}{2} =\frac{18}{2} =9\ inches[/tex]
Height of each cylinder, h = 12 inches
As we know:
[tex]Volume\ of \ cylinder=\pi r^{2} h[/tex]
[tex]=\frac{22}{7} \times9\times9\times12\\ \\ =\frac{21384}{7} =3054.857\ cubic\ inches[/tex]
Volume of 10 cylinders = 3054.857 [tex]\times[/tex] 10 = 30548.57 cubic inches.
Thus, Lydia purchased 30548.57 cubic inches of water for Fido.
