171,597 equals 63 times radius to the power of two times pi divided by 3 times x

Question

its something about an unknown definition and you round it to the nearest whole number. it gives you the volume and height of a cone but not the radius.

Answer 1

Volume of a cone=(1/3)(pi)r^2h, where r=base radius and h=vertical height. There's also volume=(1/3)(pi)r^2sqrt(s^2-r^2) where s=slant height. From your info the height could be 63, unknown that gives us a total volume of  radius, volume=171597, but what is x?

Start by multiplying 171597 by 3/(63(pi)) which should leave us with r^2=171597/(21(pi))=2601, so r=51. Perhaps x is the number of cones, in which case r^2=2601/x and r=51/sqrt(x). 51=3*17 so x could be 9 or 289 (3^2 or 17^2). That means either 9 cones with radius 17 and height 63; or 289 cones with radius 3 and height 63. I'd go for 9 cones with radius 17 and height 63, wouldn't you? That gives us a total volume of 171596.93. Pretty close!

Answer 2

Given 171595 = (63*r^(2pi))/3x

171595=21r^2pi/x

x=21r^2pi/171595

Here different value of radius will give different value of x

Math Help Online