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Find the volume of a sphere with a diameter of 9 feet. Round your answer to the nearest tenth.

Find the volume of a sphere with a diameter of 9 feet. Round your answer to the nearest tenth.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Find the volume of a sphere with a diameter of 9 feet. Round your answer to the nearest tenth.

 

 

 

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### Figure: Right Rectangular Pyramid This diagram represents a right rectangular pyramid, a three-dimensional geometric shape. Below is a detailed description of the image's features: - **Base**: The base of the pyramid is a rectangle, labeled as ABCD. This flat surface lies on the horizontal plane. - **Height (h)**: The vertical height of the pyramid is depicted as a dashed line extending from the apex of the pyramid (point V) perpendicular to the base, intersecting it at a point O. It is labeled as the height, denoted by “h”. - **Lateral Edges**: The pyramid has lateral edges VA, VB, VC, and VD, each represented by solid lines that connect the apex (V) to each vertex (A, B, C, D) of the base rectangle. - **Slant Height (l)**: The diagram shows the slant height of the pyramid as a solid line extending from the apex (V) to the midpoint of a side of the base (in this case, between edge BC), creating a right angle with the dashed height line. The pyramid's slants are shown equally for the opposite sides. - **Right Angle**: A right angle is marked at the intersection point of the dashed line (height) and the base rectangle, indicating the perpendicular nature of the height to the base. This structure is an example of a polyhedron with a polygonal base and triangular faces connecting the base to a common point, the apex.
Transcribed Image Text:### Figure: Right Rectangular Pyramid This diagram represents a right rectangular pyramid, a three-dimensional geometric shape. Below is a detailed description of the image's features: - **Base**: The base of the pyramid is a rectangle, labeled as ABCD. This flat surface lies on the horizontal plane. - **Height (h)**: The vertical height of the pyramid is depicted as a dashed line extending from the apex of the pyramid (point V) perpendicular to the base, intersecting it at a point O. It is labeled as the height, denoted by “h”. - **Lateral Edges**: The pyramid has lateral edges VA, VB, VC, and VD, each represented by solid lines that connect the apex (V) to each vertex (A, B, C, D) of the base rectangle. - **Slant Height (l)**: The diagram shows the slant height of the pyramid as a solid line extending from the apex (V) to the midpoint of a side of the base (in this case, between edge BC), creating a right angle with the dashed height line. The pyramid's slants are shown equally for the opposite sides. - **Right Angle**: A right angle is marked at the intersection point of the dashed line (height) and the base rectangle, indicating the perpendicular nature of the height to the base. This structure is an example of a polyhedron with a polygonal base and triangular faces connecting the base to a common point, the apex.
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