The volume of a right cylinder is 27π cubic centimeters, and the high is 3 centimeters (cm). What is the radius of the cylinder?
A. 2 Cm
B. 3 Cm
C. 4.5 cm
D. 9 Cm

Respuesta :

Answer:

B

Step-by-step explanation:

The volume is the height x area of base, 27pi / 3 = 9pi

Area of base is radius square x pi, 9 pi = 3^2 x pi

The radius of a cylinder with volume of 27π is 3 centimetres.

How to solve for volume of a cylinder?

volume of a cylinder = πr²h

where

  • r = radius
  • h = height

Therefore,

r = ?

h = 3 cm

volume = 27π

Hence,

27π = π × r² × 3

divide both sides by 3π

r² = 27π / 3π

r² = 9

r = √9

r = 3 cm

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