The cylinder

In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.

Correct answer:

r =  4 cm
h =  3.8197 cm

Step-by-step explanation:

S=96 cm2 V=192 cm3  S = 2π⋅ r⋅ h V = π r2 h  h =  2π⋅ rS​  V = π r2  2π⋅ rS​  V =  2r⋅ S​  r=2⋅ V/S=2⋅ 192/96=4 cm  h=2π⋅ rS​=2⋅ 3.1416⋅ 496​≐3.8197 cm   Verifying Solution:  S1​=2π⋅ r⋅ h=2⋅ 3.1416⋅ 4⋅ 3.8197=96 V1​=π⋅ r2⋅ h=3.1416⋅ 42⋅ 3.8197=192  S1​=S, V1​=V

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Grade of the word problem:

Related math problems and questions: