Calculate 82549

The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid

Correct answer:

r =  4 cm
h =  3.5014 cm
S2 =  188.531 cm2

Step-by-step explanation:

S=88 cm2 V=176 cm3  V = π r2 h = S1 h  S = 2π r h  h =  2π rS  V = π r2  2π rS  V =  2r S  r=2 V/S=2 176/88=4 cm  h=2π rS=2 3.1416 4883.5014 cm
S1=π r2=3.1416 4250.2655 cm2  S2=S+2 S1=88+2 50.2655188.531 cm2   Verifying Solution:  S9=2π r h=2 3.1416 4 3.5014=88 cm2 V9=π r2 h=3.1416 42 3.5014=176 cm3  S9=S, V9=V

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