5.5.8 **Problem Description**Let \( E \) be the region bounded above by \( x^2 + y^2 + z^2 = 10^2 \), within \( x^2 + y^2 = 3^2 \), and below by the \( r\theta \) plane. The constraints are \( z \geq 6 \) and \( 0 \leq \theta \leq \frac{1}{4} \pi \). Find the volume of \( E \).**Graph Explanation**The image shows a three-dimensional region in cylindrical coordinates, illustrating the volume under consideration. The graph includes:- **Green Surface**: Represents the spherical boundary defined by \( x^2 + y^2 + z^2 = 10^2 \). This is the upper boundary of the region.- **Red and Blue Surfaces**: Depict the cylindrical boundary given by \( x^2 + y^2 = 3^2 \). These surfaces show the limits in the \( x \)–\( y \) plane.- **Black Plane**: Represents the \( z = 6 \) boundary, which serves as the lower limit for the \( z \)-coordinate.- **Axial Representation**: The axes \( x \), \( y \), and \( z \) are clearly marked, providing a spatial reference. The region of interest lies above the \( z \geq 6 \) plane and within the cylindrical section defined by the angular restriction \( 0 \leq \theta \leq \frac{1}{4} \pi \).**Note**The given graph is an example. Scale and equation parameters may differ for specific problems. Ensure to perform calculations to two decimal places for precision.

Given: x2+y2+z2=102 , z≥6x2+y2=32, 0≤θ≤14π To find: Volume of E.

Let E be the region bounded above by x² + y² + z² = 10², within x² + y² = 3², 1 below by the re plane. z ≥ 6, and 0≤0 ≤ T. Find the volume of E. N 10 Triple Integral Cylindrical Coordinates -10 -5 X 10 10 y Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Round your answer to two decimal places.