A torus is essentially a tube wrapped into a circle (a \"doughnut\" shape). The

Question

A torus is essentially a tube wrapped into a circle (a "doughnut" shape). The volume (V) of a torus can be caloulated by V-22R where R is the radius of the torus (from the center of the "tube" to the center of the hole in the middle) and r is the radius of the tube itself. If a torus has a volume of 2,537 cubic inches [in31 with a torus radius (R) of 0.26 meters [m]. what is the radius of the tube (r) in units of centimeters [cm? Click the icon to view conversion table for length and volume The radius of the tube iscm(Round your answer to two significant digits.)

Explanation / Answer

Given that

volume V=2537 in^3= 41573.98 cm^3 {1 in^3=116.3871 cm^3}

radius of the torus R=0.26 m=26 cm

now we find the radius of the tube

volume V=2*3.14^2*r^2*R

41573.98=2*3.14^2*r^2*26

r^2=81.1 cm

radius r=9.01 cm

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