To find the volume of the solid, we first need to calculate the volume of the cylinder and then subtract the volume of the rectangular prism.
Volume of cylinder = πr^2h
Volume of cylinder = 3.14 * 10^2 * h
Volume of cylinder = 314 * h
Now, we need to calculate the volume of the rectangular prism.
Volume of rectangular prism = lwh
Volume of rectangular prism = 20 * 20 * h
Volume of rectangular prism = 400 * h
To find the total volume, we subtract the volume of the rectangular prism from the volume of the cylinder.
Total volume = 314h - 400h
Total volume = 314h - 400h
Total volume = -86h
We know that the radius is 10 yards, which is also the length of the rectangular prism. Therefore, the height of the cylinder and rectangular prism are the same. Let's assume the height is 1 yard.
Total volume = -86 * 1
Total volume = -86 cubic yards
Rounded to the nearest ten, the volume of the solid is 90 cubic yards.
The correct answer is: A. 1,980
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 10 yards. Find the volume of the solid in cubic yards, rounded to the nearest ten. Use 3.14 for pie.
A. 1,980
B. 1,788
C. 1,034
D. 1,884
1 answer