Cylinder diameter

The surface of the cylinder is 112 cm2. The cylinder height is 5 cm. What is the diameter of this cylinder?

Final Answer:

D =  4.813 cm

Step-by-step explanation:

S=112 cm2 h=5 cm  S = 2 π r2 + 2 π r h S = π D2/2 + π D h  pi D2/2+pi D hS=0  3.1415926 D2/2+3.1415926 D 5112=0 1.5707963D2+15.708D112=0  a=1.570796;b=15.708;c=112 D=b24ac=15.708241.570796(112)=950.4568440094=4.813 cm D>0  D1,2=2ab±D=3.14159315.71±950.46 D1,2=5±9.813328 D1=4.813328473 D2=14.813328473  D>0  D=D1=4.81334.8133   Verifying Solution:  r=D/2=4.8133/22.4067 cm  S2=2π r2+2π r h=2 3.1416 2.40672+2 3.1416 2.4067 5=112 cm2 S2=S

Our quadratic equation calculator calculates it.




Help us improve the example. If you find a mistake, let us know. 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 a solution? Or do you have a quadratic equation?

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

algebrasolid geometryplanimetricsGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: