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Questions and Answers
A cone has a radius of 5 cm and a slant height of 13 cm. What is the lateral surface area of the cone?
A cone has a radius of 5 cm and a slant height of 13 cm. What is the lateral surface area of the cone?
A sphere has a radius of 6 cm. What is the surface area of the sphere?
A sphere has a radius of 6 cm. What is the surface area of the sphere?
A cone has a radius of 4 cm and a height of 3 cm. What is the volume of the cone?
A cone has a radius of 4 cm and a height of 3 cm. What is the volume of the cone?
A sphere has a volume of (32/3)π cm³. What is the radius of the sphere?
A sphere has a volume of (32/3)π cm³. What is the radius of the sphere?
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A cone has a radius of 7 cm and a slant height of 25 cm. What is the total surface area of the cone?
A cone has a radius of 7 cm and a slant height of 25 cm. What is the total surface area of the cone?
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Sphere is inscribed in a cube find the ratio of the volume of cube to the volume of sphere
Sphere is inscribed in a cube find the ratio of the volume of cube to the volume of sphere
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Flashcards
Lateral Surface Area of a Cone
Lateral Surface Area of a Cone
The area of the curved surface of a right circular cone, excluding the base.
Total Surface Area of a Cone
Total Surface Area of a Cone
The combined area of the lateral surface and the base of a right circular cone.
Volume of a Cone
Volume of a Cone
The amount of space occupied by a right circular cone, calculated as (1/3)πr²h.
Surface Area of a Sphere
Surface Area of a Sphere
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Volume of a Sphere
Volume of a Sphere
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Study Notes
Surface Area of a Right Circular Cone
- The lateral surface area of a right circular cone is the area of the curved surface, excluding the base.
- Calculated using: Lateral Surface Area = πrl, where 'r' is the base radius and 'l' is the slant height.
- Slant height 'l' found using the Pythagorean theorem: l² = r² + h², where 'h' is the cone's height.
- Total surface area is the sum of lateral surface area and base area.
- Total Surface Area = πrl + πr².
Volume of a Right Circular Cone
- Volume of a right circular cone is the space it occupies.
- Calculated using: Volume = (1/3)πr²h, where 'r' is the base radius and 'h' is the height.
Surface Area of a Sphere
- Surface area of a sphere is the total area of its surface.
- Calculated using: Surface Area = 4πr², where 'r' is the radius.
Volume of a Sphere
- Volume of a sphere is the space it occupies.
- Calculated using: Volume = (4/3)πr³, where 'r' is the radius.
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Description
Test your understanding of the surface area and volume calculations for right circular cones and spheres. This quiz covers key formulas and concepts essential for solving geometric problems involving these shapes.
