Write an equation representing the fact that the sum of the squares of two consecutive integers is 113. then solve to find the two integers.

The consecutive integers are 7 and 8.

Step-by-step explanation: a= the first integer, (a+1)= the second integer

                                              Therefore,

                                                                a^2 + (a+1)^2= 113

                                                             = a^2 + a^2+2a+1 = 113

                                                             = 2a^2+ 2a -112 = 0

                                               Using the quadratic equation you get 7 and 8

                                            As a checkpoint:

                                                       7^2 + 8^2 = 113

                                                    = 49 + 64 = 113

                                                    = 113 = 113

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

stops on an even number.