Answer:
see explanation
Step-by-step explanation:
A
The volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the radius of the base and h is the height )
here d = 3 ⇒ r = 1.5 and h = 8, thus
V = π × 1.5² × 8
= π × 2.25 × 8 = 18π ft³
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B
We require to calculate the radius to obtain the diameter, hence
πr² × 2 = 18π ← volume of tank B = volume of tank A
2πr² = 18π ( divide both sides by 2π )
r² = 9 ( take the square root of both sides )
r = [tex]\sqrt{9}[/tex] = 3
Hence diameter = 2 × 3 = 6 ft
