Question

Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wants to know how much trash can fit into the trash can. He measures the outside of the trash can and finds it has a height of 24.90 inches and a diameter of 15.50 inches. What is the volume of the trash can? Round to the nearest tenth of a cubic inch.

Answer 1

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

                  Trash can has a height of 24.90 inches

                  Diameter of 15.50 inches

Step:1

                Formula to calculate the volume of cylinder,

                              $Volume, V = \pi r^{2} h$.............................(1)

               Where, r - radius of cylinder

                           h - Height of cylinder

               From given,

                          h - 24.90 inches

                          D - 15.50 inches

                Diameter to radius conversion,

                                   $Radius, r = \frac{d}{2}$

                                                   $= \frac{15.50}{2}$

                                                r = 7.75 inches

              Equation (1) becomes,

                                                $V = \pi (7.75^{2} )(24.90)$

                                                    $= \pi (60.0625)(24.90)$

                                                    $=\pi (1495.556)$

                                                    $=(3.1416) (1495.556)$           (∵ $\pi = 3.1416$ )

                                                    = 4698.42

                                                   ≅ 4698 cubic inches

           Volume of trash can, V = 4698 cubic inches

Result:

             The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.