Answer:
original is 4 & 6.
for 54 sq inch= 6 & 9 and for 96 sq inch=8 & 12
Step-by-step explanation:
Given: The length is 1.5 times the width.
so the length is, l = 1.5w
----(a)
lw = 24 =1.5w(w)
lw = 54=
1.5w(w)
lw = 96
=1.5w(w)
Further simplifying it,
1.5
=24
1.5
=54
1.5
=96
so,
=
=16
=
36
=
64
taking the square root, we get:
w = 4
w = 6
w = 8
By putting the above values in eq (a), we can find their corresponding lengths:
l = 1.5(4) = 6
l = 1.5(6) = 9
l = 1.5(8) = 12
So a few lengths could be:
(l, w)
(6,4)
(9,6)
(12,8)
Cylinder Volume = PI * radius ^2 * height
52 = PI * radius ^2 * 4
radius ^2 = 52 / (PI * 4)
radius ^2 = 52 / 12.5663706144
radius ^ 2 = 4.1380285204
radius = 2.0342144726
OR a good approximation of the radius is 2 inches
79, 000
Tip: focus on the number/place you need to round from ( in this case 8) if the number is 4 or below it will stay the same, but if the number is 5 or above it will change by 1 number (in this case it will change from 78, 045 to 79, 000)