The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches What is the radius of the cone, rounded to the nearest inch?

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pritajena90k · Accepted Answer

The formula for the Volume of a cone is:      V    =    π          r      2              h      3      Where:      V   is the Volume of the cone:       141.3                  in            3       for this problem.      r   is the radius of the cone: what we are solving for in this problem.      h   is the height of the cone:       15          in       for this problem.Substituting and solving for       r   gives:      141.3                  in            3        =    π    ×          r      2        ×                  15                  in                    3            141.3                  in            3        =    π    ×          r      2        ×    5          in                          141.3                              in                    3                                      5                      in                                =                  π        ×                  r          2                ×        5                  in                                      5                      in                                                  141.3                              in                                                                                                                                                  3                                                                                                                  2                                                5                                                                                                                                        in                                                                                                                                      =                  π        ×                  r          2                ×                                                                                                  5                                          in                                                                                                                                                          5                              in                                                                            141.3                              in                    2                                      5                      =    π          r      2            28.26                  in            2        =    π          r      2                          28.26                              in                    2                                      π                      =                  π                  r          2                                      π                                        28.26                              in                    2                                      π                      =                                                                                                            π                                                                                                r          2                                                                π                                                              28.26                              in                    2                                      π                      =          r      2      We can use 3.1416 to estimate       π   giving:                    28.26                              in                    2                                      3.1416                      =          r      2            9                  in            2        =          r      2       rounded to the nearest inch.To calculate the radius of the cone while keeping the equation balanced, take the square root of each side of the equation:                    9                              in                    2                      =                            r          2                          3          in        =    r        r    =    3          in      The cone&#039;s radius is 3 inches, rounded to the nearest inch.

The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches What is the radius of the cone, rounded to the nearest inch?

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