Cylinder - A&V

The cylinder has a volume 1287. The base has a radius 10. What is the area of surface of the cylinder?

Correct result:

A =  885.7

Solution:

r=10 V=πr2v v=1287πr2=4.097 A=2S1+S2=2πr2+2πrv=2π10(10+4.097)=885.7r = 10 \ \\ V = \pi r^2 v \ \\ v = \dfrac{ 1287}{\pi r^2} = 4.097 \ \\ A = 2S_1 + S_2 = 2\pi r^2 + 2\pi r \cdot v = 2\pi \cdot 10 \cdot (10+4.097) = 885.7



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