Surface Area of Spheres

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Show your work for each problem.

1.
What is the formula for the surface area of a sphere?
1. a)
2. b)
3. c)
4. d)
2.
A sphere has a radius of cm. What is ?
3.
If a sphere has diameter cm, what is the radius?
1. a) cm
2. b) cm
3. c) cm
4. d) cm
4.
A sphere has radius cm. What is in terms of ? (Answer as a number followed by pi, e.g., 16pi)
5.
Calculate the surface area of a sphere with radius cm. Give the exact answer in terms of .
6.
A sphere has radius cm. What is its surface area in terms of ? (Answer as number followed by pi)
7.
A sphere has diameter cm. Calculate its surface area in terms of .
8.
A sphere has surface area cm². What is its radius?
1. a) cm
2. b) cm
3. c) cm
4. d) cm
9.
Calculate the surface area of a sphere with radius cm. Round to the nearest whole number. (Use )
10.
A basketball has a diameter of cm. What is its surface area? Round to the nearest whole number. (Use )
11.
If you double the radius of a sphere, what happens to its surface area?
1. a)It stays the same
2. b)It quadruples (×4)
3. c)It increases 8 times (×8)
4. d)It doubles (×2)
12.
A sphere has a surface area of cm². Find its radius.
13.
A spherical tank needs m² of steel for its surface. What is the radius? (Use )
14.
Earth has a radius of approximately km. Calculate its surface area in scientific notation. (Use )
15.
Sphere A has radius cm and Sphere B has radius cm. What is the ratio of their surface areas (A:B)?
1. a)
2. b)
3. c)
4. d)
16.
A hemisphere (half a sphere) has a flat circular base and a curved surface. If the radius is cm, what is the total surface area? (Include both the curved part and the flat base)