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The height of one right circular cylinder is 7 centimeters and it’s radius is 2 centimeters. The height of the second right circular cylinder is 28 centimeters and it’s radius is also 2 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? Please Explain!!

Respuesta :

Volume of a cylinder

[tex]\pi \times {r}^{2} \times h[/tex]

larger cylinder: r=2, h=28

volume of larger cylinder lets say (V) :

[tex]\pi \times {2}^{2} \times28 \\ = 4 \times 28\pi =112\pi[/tex]

vokume of smaller cylinder lets say (v): r=2, h=7

[tex]\pi \times {2}^{2} \times 7 \\ = 4 \times 7\pi = 28\pi[/tex]

so the ratio= volume of largercylinder/ volume of smaller

[tex]ratio = \frac{112\pi}{28\pi} \\ = \frac{4}{1} [/tex]

so in ratio terms the

Ans: 4:1

Answer:

Short answer A

Step-by-step explanation:

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