Question

Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use 3.14 to approximate pi. (Show your work.)

Answer 1

Answer: 284.7

Step-by-step explanation:

radius of cone and hemisphere are the same

volume of half sphere=(1/2)*(4/3)*$\pi r^{3}$

                                    =(1/2)*(4/3)*3.14*$4^{3}$                       (4*4*4=64)

                                    =133.97333

                                    =133.97

volume of cone= (1/3)$\pi r^{2}$h

                         =(1/3)*3.14*$4^{2}$*9                                      (4*4=16)

                         =150.72

total volume=133.97+150.72

                    =284.69

                    =284.7