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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?
- 169π cm²
- 130π cm² (correct)
- 65π cm²
- 325π cm²
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?
- 144π cm² (correct)
- 108π cm²
- 36π cm²
- 288π cm²
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?
- 48π cm³
- 12π cm³
- 64π cm³
- 16π cm³ (correct)
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?
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?
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
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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