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Suppose that the volume of a right circular cylinder is 500 pi cubic centimeters and the area of its base is 5 centimeters. what is the Hight of the cylinder? please help quickly!!!
100 points
A. 20 cm B. 10 cm C. 12 cm D. 25 cm

Respuesta :

seokjinnie777

Answer:

A) 20 cm

Step-by-step explanation:

V = pi * r^2 * h

500pi = pi * 5^2 * h

500 = 25 * h

h = 20 cm

hopes this helps! <3

semsee45

Answer:

A.  20 cm

Step-by-step explanation:

Volume of a cylinder

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

where:

  • V = volume
  • r = radius
  • h = height

Given:

  • V = 500π cm³
  • r = 5 cm

Substitute the given values into the formula and solve for h:

[tex]\begin{aligned}\textsf{V} & = \sf \pi r^2h\\\implies \sf 500 \pi & = \sf \pi (5)^2 h\\\implies \sf 500 \pi & = \sf 25 \pi h\\\sf \dfrac{500 \pi}{25 \pi} & = \sf h\\\sf h & = \sf \dfrac{500}{25}\\\sf h & = \sf 20 \:\:cm\end{aligned}[/tex]

Therefore, the height of the cylinder is 20 cm.

Learn more about volumes of cylinders here:

https://brainly.com/question/27991324

https://brainly.com/question/27945047

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