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The volume of the cylinder is 51207 m. What is the missing value? K 20​

The volume of the cylinder is 51207 m. What is the missing value? K 20​-example-1

1 Answer

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Answer:

57.11 m

Explanation:

The formula for the volume of a cylinder of radius r and length h is

V = πr²h. We want to solve this formula for d, the diameter of the cylinder.

Start by solving the equation V = πr²h for r²: divide both sides by πh.

V

Then r² = -------------

πh

51207 m³

Substituting 20 for h and 3.14 for π, we get r² = ------------------ or:

3.14(20 m)

r² = 815.40 m²

Find the radius by taking the square root of both sides of the previous result:

r = 28.56 m

The diameter is twice the radius, and therefore the diameter here

is d = 2(28.56) m = 57.11 m

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