Answer:
Exact volume is 216π in^3.
Step-by-step explanation:
If B is the radius of the base of the cylinder then the volume is:
V = πr^2h
= π * 6^2 * 6
= π*36*6
= 216π in^3.
Answer:
Length = 10 inches
Width = 10 inches
Step-by-step explanation:
The perimeter of the base is 40 inches, so we can write the following equation:
2*Length + 2*Width = 40
Length + Width = 20 (eq1)
The volume of the box is 800 in3, so we have:
800 = Length*Width*8
Length*Width = 100 (eq2)
From the (eq1), we have:
Length = 20 - Width
Using this value of Length in (eq2), we have:
(20 - Width)*Width = 100
20*Width - Width^2 - 100 = 0
Using Bhaskara's formula, we have:
Delta = b^2 - 4ac = 400 - 400 = 0
Width = -b/2a = -20/(-2) = 10 inches
Length = 20 - Width = 20 - 10 = 10 inches
So the length is 10 inches and the width is 10 inches
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