The surface

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

Correct 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) −6.2831799999999r2−94.248r+1570=0 6.2831799999999r2+94.248r−1570=0  a=6.28318;b=94.248;c=−1570 D=b2−4ac=94.2482−4⋅6.28318⋅(−1570)=48340.999355289 D>0  r1,2​=2a−b±D​​=12.56636−94.25±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

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

algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
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