The surface

The surface of the cylinder is 1570 cm2; its height is 15 cm. Find the volume and radius of the base.

Final Answer:

V =  4712.389 cm3
r =  10 cm

Step-by-step explanation:

S=1570 cm2 h=15 cm S = 2 π   r(r+h)  S=2 3.14159 r(r+h)  1570=2 3.14159 r(r+15) 6.2831799999999r294.248r+1570=0 6.2831799999999r2+94.248r1570=0  a=6.28318;b=94.248;c=1570 D=b24ac=94.248246.28318(1570)=48340.999355289 D>0  r1,2=2ab±D=12.5663694.25±48341 r1,2=7.5±17.496385 r1=9.996384533 r2=24.996384533  r=[r1]=[9.9964]=10 cm  V=π r2 h=3.1416 102 15=4712.389 cm3

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?
Tip: Our volume units converter will help you convert volume units.
Do you want to round the number?

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

algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: