The volume of a rectangular prism with a cone shaped hole in it is approximately 163.22cm³ (as shown below). ✏️ What is the height of the cone?

Height of the cone = 5 cm

Step-by-step explanation:

Volume of the rectangular prism with a cone shaped hole = Volume of the rectangular prism - Volume of the cone

Volume of the rectangular prism = Length × Width × Height

                                                       = 5 × 5 × 7

                                                       = 175 cm³

Volume of the cone =

Here, r = Radius of the cone

h = Height of the cone

Volume of the cone =

                                 = 0.75πh cm³

Volume of the rectangular prism with a hole = 163.22 cm³

175 - 0.75πh = 163.22

0.75πh = 175 - 163.22

0.75πh = 11.78

h = 5 cm

sine

step-by-step explanation: