The volume of a cylinder is 400π cm3 and the radius of its circular base is 8 cm. What is the height of this cylinder?

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Answer:

6.25cm

Step-by-step explanation:

V/π x r2 = h

π * 64 = 201.06192983

1256.63706144/ 201.06192983 = 6.25cm

1256.63706144/ π = 400 then to check.

If you are given area cylinder this may help you as it takes 3 minutes to learn off by heart.

Cylinder Area A= 2*π * r*h + 2*π * r^2  = 4 value

2*π  = 6.28318530718

6. = six    1 value

-Twentyeightythreeone 4 value

Eightfivethreezero  4 value

SevenEighteen 3 value

Quickly write down those values and remember them

Multiply it by the square radius 8^2 + then press store on calculator. We use 2*π the second time just add the radius, take this product and add it to the last. Then store bring the Area up and divide with the last stored entry.

- we get the height.

To find h we A / 2πr2 + 2π * r) = h

The  height of this cylinder is 6.3cm

How to calculate the volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

[tex]V = \pi r^2h[/tex]

where

r is the radius  = 8cm

h is the height

Substitute the given parameters to have:

400π = π(8)²h
400 = 64h

h = 400/64

h = 6.3cm

Hence the  height of this cylinder is 6.3cm

Learn more on volume of cylinder here: https://brainly.com/question/9554871