See picture ### Problem Statement:Find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use \( \pi = 3.14 \) when necessary.### Diagram Description:The provided diagram illustrates a cylinder placed inside a rectangular prism. The dimensions of the cylinder and rectangular prism are as follows:- The diameter of the cylinder is 8 meters.- The height (or length) of the cylinder is 32 meters.- The base of the rectangular prism is a square with each side measuring 8 meters.- The height (or length) of the rectangular prism is also 32 meters, matching the cylinder.### Solution Options:A) \( 440.32 \, \text{m}^3 \)B) \( 4,382.72 \, \text{m}^3 \)C) \( 1,607.68 \, \text{m}^3 \)D) \( 2,048.00 \, \text{m}^3 \)### Explanation:To find the volume of the shaded solid (the cylinder), we use the formula for the volume of a cylinder:\[ V = \pi r^2 h \]where:- \( V \) is the volume- \( \pi \) is Pi, approximately 3.14- \( r \) is the radius of the cylinder- \( h \) is the height of the cylinderGiven:- Diameter = 8 meters, hence Radius (\( r \)) = \(\frac{8}{2}\) = 4 meters- Height (\( h \)) = 32 metersSubstituting the values into the formula:\[ V = 3.14 \times (4)^2 \times 32 \]\[ V = 3.14 \times 16 \times 32 \]\[ V = 3.14 \times 512 \]\[ V = 1,607.68 \, \text{m}^3 \]So, the correct answer is:C) \( 1,607.68 \, \text{m}^3 \)

Name: See picture ### Problem Statement:Find the volume of the shaded solid.
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: See picture ### Problem Statement:Find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use \( \pi = 3.14 \) when necessary.### Diagram Description:The provided diagram illustrates a cylinder placed inside a rectang