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A cylindrical container can hold about 1,256 cubic inches of water.The diameter of the cylinder is 10 inches long. Approximate the height if the cylinder to the nearest inch . Use 3.14 to approximate the value of _.

ANSWER 16 in

Answer :

Answer:

see explanation

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ← r is the radius and h the height

Here diameter = 10, thus r = 10 ÷ 2 = 5 and V = 1256, thus

π × 5² × h = 1256, that is

25πh = 1256 ( divide both sides by 25π )

h = [tex]\frac{1256}{25(3.14)}[/tex] = 16 in

samuelonum1

The Height is the cylinder is approximately 16 inches

Volume of Cylinder

Given Data

  • Volume = 1,256 cubic inches
  • Diameter = 10 inches
  • radius = 10/2 = 5 inches

Volume of cylinder = πr^2h

Substituting our given data into the formula we have

1256= 3.142*5^2*h

solve for h

1256= 3.142*5^2*h

1256 = 78.55h

divide both side by 78.55

h= 1256/78.55

h = 15.98

h= 16 inches

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