If the volume of the composite figure is 159in^3. The side are 11in, 4in, 3in,3in,3in. What is the math?
To find the volume of the composite figure, we need to first determine what shape each of the sides represent and then calculate the volume of each shape separately.
Given sides:
- Side 1: 11in (Assuming this side represents the length of a rectangular prism)
- Side 2: 4in (Assuming this side represents the width of a rectangular prism)
- Side 3: 3in (Assuming this side represents the height of a rectangular prism)
- Side 4: 3in (Assuming this side represents the radius of a cylinder)
- Side 5: 3in (Assuming this side represents the height of a cylinder)
Now, let's calculate the volume of each shape separately:
Volume of the rectangular prism:
Volume = length x width x height
Volume = 11in x 4in x 3in
Volume = 132in^3
Volume of the cylinder:
Volume = π x radius^2 x height
Volume = π x (3in)^2 x 3in
Volume = π x 9in^2 x 3in
Volume = 27πin^3
Now, add the volumes of the rectangular prism and cylinder together to get the total volume of the composite figure:
Total Volume = Volume of rectangular prism + Volume of cylinder
Total Volume = 132in^3 + 27πin^3 ≈ 132in^3 + 84.78in^3
Total Volume ≈ 216.78in^3
Therefore, the math given the sides are 11in, 4in, 3in, 3in, 3in and a volume of 159in^3 is incorrect. The correct volume would be approximately 216.78in^3.