What is the formula for finding the radius of a cylinder if its volume and height are known

January 20, 2023 Quiz 7 Views

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What is the formula for finding the radius of a cylinder if its volume and height are known

Answer :

The formula is as follows:

$R= \\sqrt{ \\frac{V}{ \\pi .t} }$

Detailed discussion of Tubes

Tubes include types prism, which is a geometric shape that has a pair of the same plane. The two planes that are the same in the tube are the base and the top which are equally shaped circle.

In general, the volume of a prism is the area of the base times the height.

The volume of the tube is as follows:

$V= \\pi . R^{2}.t$
Information:
π = ²²/₇ or 3.14
R = tube radius
t = tube height

Asked to determine the radius of the cylinder when the volume and height are known. The following is the processing of the cylinder volume formula to make the radius R the subject you are looking for.

$R^{2}= \\frac{V}{ \\pi .t}$
Then square root both sides so that it cancels out the square shape with respect to R

Thus, the formula for finding the radius of a cylinder if the volume and height are known is
$R= \\sqrt{ \\frac{V}{ \\pi .t} }$

Question Details

Class : IX

Math

Category : Space Building Volume

Keywords: formula, tube, volume, radius, height

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