Question

The three-dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through the center of it. The radius is feet. Find the volume of the solid in cubic feet. Use for . A three-dimensional cylinder is shown with a hole in the shape of a rectangular prism going through the center of it. The height of the cylinder is 15 feet. The rectangular prism-shaped-hole is 3 feet wide and 5 feet long, and 15 feet high. cubic feet cubic feet cubic feet cubic feet

Answer 1

To find the volume of the solid, we need to calculate the volume of the cylinder and subtract the volume of the rectangular prism-shaped hole.
The volume of the cylinder can be found using the formula V = πr^2h, where r is the radius and h is the height.
The volume of the rectangular prism-shaped hole can be found using the formula V = lwh, where l is the length, w is the width, and h is the height.
calculate the volumes:

Volume of the cylinder = π( )^2(15) cubic feet
Volume of the rectangular prism-shaped hole = (3)(5)(15) cubic feet

Now, subtract the volume of the hole from the volume of the cylinder to find the volume of the solid.