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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Surface area of a sphere | Learn surface area of a sphere and their properties. |
| 2. | Surface area of a hemisphere | Learn surface area of a hemisphere and their properties. |
| 3. | Example problem of a sphere | Learn how to use surface area of a sphere formula in spherical objects. |
| 4. | Example problem of a hemisphere | Learn how to use surface area of a hemisphere formula in hemispherical objects. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Say true or false | 3rd type - analysis | easy | 2 m. | Remember the formulas of a sphere and hemisphere and say whether the given statement is true or false. |
| 2. | Find the radius of a sphere | 2nd type - interpretation | easy | 3 m. | Practice problem to find the radius of a sphere when surface area is given. |
| 3. | Find the diameter of the sphere | 2nd type - interpretation | easy | 3 m. | Find the diameter of the sphere using surface area of a sphere. |
| 4. | Find the radius of the hemisphere | 2nd type - interpretation | easy | 3 m. | Practice problem to find the radius of a hemisphere when surface area is given. |
| 5. | Calculate the surface areas of a hemisphere | 2nd type - interpretation | medium | 4 m. | Work on the problem to find the curved surface area and the total surface area of hemisphere. |
| 6. | Find the radius and surface area of a hemispherical solid | 3rd type - analysis | medium | 3 m. | Work on the problem to find the radius and surface area of a hemispherical solid. |
| 7. | Determine the cost of tin-plating the hemispherical bowl | 3rd type - analysis | medium | 4 m. | Find the cost of tin-plating the hemispherical bowl using surface area formula. |
| 8. | Find the ratio of surface area of the balloons | 3rd type - analysis | medium | 4 m. | Problem to find the ratio of surface area of the balloons in two cases using surface area formula. |
| 9. | How much money needed to buy the cloth | 3rd type - analysis | medium | 4 m. | Calculate how much money needed to buy the cloth for hemispherical tent. |
| 10. | Evaluate the cost of manufacturing the footballs | 3rd type - analysis | medium | 4 m. | Work on the problem to find the cost of manufacturing the footballs. |
| 11. | Complete the table | 2nd type - interpretation | hard | 6 m. | Complete the table using the formulas of surface area of a sphere and hemisphere. |
| 12. | Calculate the surface area and radius of the hemispherical glass dome | 3rd type - analysis | hard | 5 m. | Work on the problem to find the surface area and radius of the hemispherical glass dome. |
| 13. | Find the increased percentage in surface area | 3rd type - analysis | hard | 4 m. | Problem to find the increased percentage in surface area of a sphere. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Calculate the surface area of a sphere | Other | easy | 3 m. | Work on the problem to find the diameter of a sphere when surface area is given. |
| 2. | Calculate the ratio of a area of a sphere and cylinder | Other | medium | 5 m. | Calculate the ratio of the area of a cylinder and sphere using surface area formulas. |
| 3. | Determine the ratio of the surface area of a moon and earth | Other | medium | 5 m. | Determine the ratio of the surface area of a moon and earth using surface area formula. |
| 4. | Calculate the cost required to paint a volleyball | Other | medium | 4 m. | Calculate the cost required to paint a volleyball using surface area formula. |
| 5. | Calculate the surface area of the vessel | Other | hard | 5 m. | Calculate the surface area of the vessel that contains a spherical Gulab jamuns. |
| 6. | Find the inner and outer curved surface area of a hemispherical bowl. | Other | hard | 2 m. | Find the inner and outer curved surface area of a hemispherical bowl using surface area formula. |
| 7. | Find the radius of a sphere | Other | easy | 1 m. | Practice problem to find the radius of a sphere when surface area is given. |
| 8. | Calculate the total surface area of a hemisphere | Other | medium | 1 m. | Work on the problem to find the curved surface area and the total surface area of hemisphere. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test | 00:15:00 | medium | 9 m. | |
| 2. | Training test | 00:15:00 | medium | 10 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:20:00 | medium | 13 m. | |
| 2. | Progress test | 00:20:00 | medium | 13 m. | |
| 3. | Progress test | 00:25:00 | medium | 13 m. | |
| 4. | Progress test | 00:25:00 | hard | 15 m. | |
| 5. | Periodic Assessment - Demo | 00:20:00 | medium | 4 m. | PA 3 |
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