Final answer:
The lateral surface area of the cylindrical tank is 880π square feet and the total surface area is 1360π square feet.
Step-by-step explanation:
To find the lateral surface area of a cylindrical tank, we can use the formula: Lateral Surface Area = 2πrh, where r is the radius of the base and h is the height of the cylinder. In this case, the diameter of the tank is 40 ft, so the radius (r) is 20 ft, and the height (h) is 14 ft. Lateral Surface Area = 2π(20 ft)(14 ft) = 880π square feet. To find the total surface area of the cylindrical tank, we can use the formula: Total Surface Area = 2πr(h+r). Plugging in the values we have: Total Surface Area = 2π(20 ft)(14 ft + 20 ft) = 2π(20 ft)(34 ft) = 1360π square feet.
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