The cylinder

The cylinder's surface area is 300 square meters, and its height is 12 meters. Calculate its volume.

Correct answer:

V =  374.3807 m3

Step-by-step explanation:

S=300 m2 h=12 cm  S=2⋅ pi⋅ r2+2⋅ pi⋅ r⋅ h  300=2⋅ 3.1415926⋅ r2+2⋅ 3.1415926⋅ r⋅ 12 −6.2831852r2−75.398r+300=0 6.2831852r2+75.398r−300=0  a=6.283185;b=75.398;c=−300 D=b2−4ac=75.3982−4⋅6.283185⋅(−300)=13224.71418108 D>0  r1,2​=2a−b±D​​=12.56637−75.4±13224.71​​ r1,2​=−6±9.15131 r1​=3.151310493 r2​=−15.151310493  r=r1​=3.1513≐3.1513 S1​=π⋅ r2=3.1416⋅ 3.15132≐31.1984 m2  V=S1​⋅ h=31.1984⋅ 12≐374.3807 m3   Verifying Solution:  S2​=2π⋅ r2+2π⋅ r⋅ h=2⋅ 3.1416⋅ 3.15132+2⋅ 3.1416⋅ 3.1513⋅ 12=300 S = S2​

Our quadratic equation calculator calculates it.


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:

algebrasolid geometryUnits of physical quantitiesGrade of the word problem

Related math problems and questions: