Q.A conical water tank with a lid has a base area of 616 square meters and a height of 21 meters. Calculate the total surface area of the tank.

Let the radius of the circular base of the water tank be \(r\) meters. So, the area of the base = \(\pi r^2\) square meters. Given: \[ \pi r^2 = 616 \Rightarrow \frac{22}{7} \times r^2 = 616 \Rightarrow r^2 = \frac{616 \times 7}{22} = 196 \Rightarrow r = 14 \] Now, the height of the tank \(h = 21\) meters. Therefore, the total surface area of the tank (including the lid and the curved surface) is: \[ = 2\pi r^2 + 2\pi rh = 2\pi r(r + h) = 2 \times \frac{22}{7} \times 14 \times (14 + 21) = 2 \times \frac{22}{7} \times 14 \times 35 = 3080 \text{ square meters} \] So, the total surface area of the tank is 3080 square meters.
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