Grade 9 Math: Spheres
This worksheet focuses on understanding and calculating properties of spheres, including surface area and volume, suitable for Grade 9 geometry students.
Includes
Standards
Topics
Grade 9 Math: Spheres
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for calculations.
1. Which of the following formulas represents the volume of a sphere?
V = πr²h
V = (4/3)πr³
V = 2πrh
V = πr²
2. What is the surface area of a sphere with radius 'r'?
A = πr²
A = 2πr
A = 4πr²
A = (1/3)πr²h
1. A sphere is a perfectly round three-dimensional object, where every point on its surface is equidistant from its .
2. The distance from the center of a sphere to any point on its surface is called the .
3. The of a sphere is the amount of space it occupies, measured in cubic units.
1. A sphere has a radius of 5 cm. Calculate its exact surface area in terms of π.
2. Find the volume of a sphere with a diameter of 10 meters. Use π ≈ 3.14 and round your answer to two decimal places.
Consider the sphere shown below. Its radius is given as 3 units. Calculate its surface area and volume.
Surface Area:
Volume:
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Area of an Annulus Worksheet
Calculate the area of an annulus using given radii for Grade 9 geometry students.
Lateral Area Practice Worksheet
A Grade 9 math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes including prisms, cylinders, pyramids, and cones.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Segment Length Practice
Practice worksheet for calculating segment lengths on number lines and coordinate planes, including midpoints and distances.
Exterior Angle of a Triangle Worksheet
Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.