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Question

#400 = (π * (x/2)^2 * x)/3#

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Answer 1 · 2018-05-16T23:37:20

#x approx 11.52#

#400 = frac{pi*(x/2)^2*x}{3}#

Expand the right side:
#400 = (pi*(x^2/4)*x)/3#

#400 = frac{pi/4 * x^3}{3}#

#400 = pi/12 x^3#

Multiply each side by #12/pi#:

#400*12/pi = x^3#

Take the cube root of each side:
#x = root3 (frac{4800}{pi})#

#x approx 11.52#