Answer:
<u>12in long</u> and <u>10in wide</u>
Step-by-step explanation:
If he were to trim the edges of the photographs to 
and 
, the edges of the photographs from Russ's vacation would be too long and wide to fit inside of the photo album.
If you convert the fractions into decimals, you can easily discern that the vacation photos would be too large to fit inside of the photo album.
Photo Album:
= 12.1 inches •Original
= 10.1 inches •Original
• Too large:
= 12.5 inches > 12.1 - 12.5 = -0.4 •Too large
= 10.5 inches > 10.1 - 10.5 = -0.4 •Too large
• Just right:
10 = 10 inches > 10.1 - 10 = 0.1 •Space left
12 = 12 inches > 12.1 - 12 = 0.1 •Space left
V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y
V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h
V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y
