Determine 73454

The volume of the cut cone is V = 38000π cm3. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm.

Correct answer:

r1 =  20 cm
r2 =  30 cm

Step-by-step explanation:

V=38000π=38000 3.1416119380.5208 cm3 v=60 cm  r2=10+r1  V=31π v (r12+r1 r2+r22)  V=pi/3v(x2+x(10+x)+(10+x)2)  119380.52083641=3.1415926/3 60 (x2+x (10+x)+(10+x)2) 188.495556x21884.956x+113097.336=0 188.495556x2+1884.956x113097.336=0  a=188.495556;b=1884.956;c=113097.336 D=b24ac=1884.95624188.495556(113097.336)=88826438.11479 D>0  x1,2=2ab±D=376.9911121884.96±88826438.11 x1,2=5±25.00000021607 x1=20.00000021607 x2=30.00000021607   Factored form of the equation:  188.495556(x20.00000021607)(x+30.00000021607)=0  r1=x1=20=20 cm

Our quadratic equation calculator calculates it.

r2=10+r1=10+20=30=30 cm   Verifying Solution:  V2=31 π v (r12+r1 r2+r22)=31 3.1416 60 (202+20 30+302)119380.5208 cm3

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