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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 in the box. Use 3.14 for π.

Respuesta :

mreijepatmat
Volume of a cylinder= (height) x area of the base (circle)

We know the height = 160 cm (given), let's find the radius of the base.

The circumference of the base = 87.92 = 2πR==> R=87.92/(2π) =13.993 cm

Area of circle = πR²=π(13.993)² = 615.128 cm²

Hence the volume of the cylinder = 615.128 x 160 = 92,420.48 cm³
khuranashilpa76

The volume of the water tank is πr²h= 98470.4 cm²

How to find radius from circumference of a circle?

  • Circumference of a circle is 2 πr.

          2 πr=87.92 cm

             r=[tex]\frac{87.92}{2*3.14\\}[/tex]

           ∴ radius (R)= 14 cm

How to find volume of a cylinder?

  •  volume of cylinder is πr²h

                   ⇒3.14×(14)²×160

                 ⇒98470.4 cm²

What is volume and  Surface area of a cylinder?

  • The volume of a cylinder with base radius 'r' and height 'h' is, V = πr2h. If its base diameter is d, then we have d = r/2.

  • The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius 'r', and height 'h' is equal to the sum of the curved area and circular areas of the cylinder.

Learn more about volume &  surface area here: https://brainly.com/question/463363

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