A cylindrical water tank is shown below. What is the approximate volume of the water in cubic feet.
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Answer:
radius r = 5 ft r=d/2
height h = 3 ft
volume V = 235.619449 ft3³ or 235.36 A is your answer.
lateral surface area L = 94.2477796 ft²
top surface area T = 78.5398163 ft²
base surface area B = 78.5398163 ft²
total surface area A = 251.327412 ft²
In Terms of Pi π
volume V = 75 π ft³
lateral surface area L = 30 π ft²
top surface area T = 25 π ft²
base surface area B = 25 π ft²
total surface area A = 80 π ft²
Step-by-step explanation:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
Agenfa: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root