Grade 12 Geometry: Spheres
A Grade 12 math worksheet focusing on the properties, surface area, and volume of spheres, including application problems.
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Grade 12 Geometry: Spheres
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Define a sphere in your own words, highlighting its key geometric properties.
2. What is the relationship between the radius, diameter, and circumference of a great circle on a sphere?
3. The formula for the surface area of a sphere with radius 'r' is .
4. The formula for the volume of a sphere with radius 'r' is .
5. A spherical balloon has a radius of 7 cm. Calculate its surface area. (Use π ≈ 3.14)
6. A spherical storage tank has a diameter of 10 meters. Calculate its volume. (Use π ≈ 3.14)
7. If the radius of a sphere is doubled, how does its surface area change?
It doubles
It triples
It quadruples
It halves
8. A company manufactures spherical glass ornaments. Each ornament has a diameter of 8 cm. If the company needs to apply a protective coating to the entire surface of 1000 ornaments, what is the total surface area that needs to be coated? Express your answer in terms of π.