Answer :
→ The volume of the tank is 50π m³ or 157.0795 m³
To find the volume of a cylindrical water tank, you can use the formula for the volume of a cylinder, which is:
[tex] \tt V = area \: of \: base \: \times \: height [/tex]
Given that the base area is 10π square meters and the height is 5 meters, the volume ( V ) would be:
[tex] \: \sf \: v \: = 10\pi \: \times \: 5 \\ \sf \: \: v = \: 50\pi \: cubic \: metres[/tex]
So, the volume of the tank is 50π cubic meters. Since π is approximately 3.14159, you can also express this volume numerically as:
V ≈ 50 × 3.14159
V ≈ 157.0795 cubic meters
Therefore, the water tank has a volume of approximately 157.0795 cubic meters.