The volume of a solid torus (the donut-shaped solid shown in the figure)with r = 5 and R = 15 is

Question

Quizplus · Accepted Answer

The formula for the volume of a torus is V = (pi^2)*(R-r)*(R+r)^2, where R is the distance from the center of the torus to the center of the tube and r is the radius of the tube. Substituting the given values of R and r into the formula, we get V = (pi^2)*(11eaae29_f4cd_edaa_87fe_dd667ba6a24d_TB2067_11-11eaae29_f4cd_c699_87fe_690e633d0d6c_TB2067_11)*(11eaae29_f4cd_edaa_87fe_dd667ba6a24d_TB2067_11+11eaae29_f4cd_c699_87fe_690e633d0d6c_TB2067_11)^2. Simplifying this expression, we get V = 11eaae29_f4cd_edab_87fe_6bb01b908633_TB2067_11 11eaae29_f4cd_edac_87fe_4d8ebe534b51_TB2067_00, which matches the given answer. Therefore, the statement is true.

The Volume of a Solid Torus (The Donut-Shaped Solid Shown