A cylinder has a height of 20 centimeters and a diameter of 38 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.

Question

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Respuesta :

ujalakhan18 ujalakhan18 · Answer 1 · 2022-03-23T15:34:40+01:00

Answer:

[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]

Step-by-step explanation:

Height = h = 20 cm

Diameter = d = 38 cm

Radius = d / 2 = 38 / 2 = 19 cm

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]

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Аноним Аноним · Answer 2 · 2022-03-23T16:08:24+01:00

Solution:

Given:

First, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.

[tex]\text{Diameter = 2(Radius)}[/tex]

[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]

[tex]\text{Radius} = \dfrac{38}{2}[/tex]

[tex]\text{Radius} = 19 \ \text{cm}[/tex]

Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.

[tex]\pi r^{2} h = \text{Volume of cylinder}[/tex]

[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]

[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]

[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]