A cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around.
What is the volume of the water tank?
Enter your answer as a decimal. Use 3.14 for π.
We can find the radius using the circumference.
circumference = 2π * radius
87.92 = 2π * radius Divide both sides of this equation by 2π .
87.92 / (2π) = radius
43.96 / π = radius
volume of cylinder = ( π * radius2 )(height) Plug in what we know to be the radius and height.
= ( π * (43.96/π)2 )(160)
= ( π * 43.962 / π2 )(160)
= (1932.4816/π)(160)
= 309,197.056/π
≈ 309,197.056/(3.14) = 98470.4 cubic cm
We can find the radius using the circumference.
circumference = 2π * radius
87.92 = 2π * radius Divide both sides of this equation by 2π .
87.92 / (2π) = radius
43.96 / π = radius
volume of cylinder = ( π * radius2 )(height) Plug in what we know to be the radius and height.
= ( π * (43.96/π)2 )(160)
= ( π * 43.962 / π2 )(160)
= (1932.4816/π)(160)
= 309,197.056/π
≈ 309,197.056/(3.14) = 98470.4 cubic cm