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VARVARA [1.3K]
4 years ago
6

A cylindrical water tank is shown below. What is the approximate volume of the water in cubic feet.​

Mathematics
1 answer:
kompoz [17]4 years ago
7 0

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

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