BluSeaa
contestada

The volume of this cylinder is 200.96 cubic centimeters. What is the height?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

h ≈ centimeters

The volume of this cylinder is 20096 cubic centimeters What is the height Use 314 and round your answer to the nearest hundredth h centimeters class=

Respuesta :

mathstudent55

Answer:

4 cm

Step-by-step explanation:

volume of cylinder = (pi)r^2h

where pi = 3.14, r = radius of the base, h = height of the cylinder

volume = (pi)(r^2)(h) = 200.96 cm^3

Replace every variable with a given value.

pi = 3.14; 4 = 4 cm

(pi)(r^2)(h) = 200.96 cm^3

(3.14)(4 cm)^2(h) = 200.96 cm^3

3.14 * 16 cm^2 * h = 200.96 cm^3

50.24 cm^2 * h = 200.96 cm^3

Divide both sides by 50.24 cm^2.

h = (200.96 cm^3)/(50.24 cm^2)

h = 4 cm

gmany

Answer:

h = 4 centimeters

Step-by-step explanation:

The formula of a volume of a cylinder:

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

r - radius

h - height

We have the volume V = 200.96 cm³, and the radius r = 4 cm.

Substiute:

[tex]\pi(4^2)(h)=200.96[/tex]

[tex]16\pi h=200.96[/tex]         use π ≈ 3.14

[tex](16)(3.14)h=200.96[/tex]

[tex]50.24h=200.96[/tex]             divide both sides by 50.24

[tex]h=4\ cm[/tex]

Ver imagen gmany

Otras preguntas