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Equations for shapes
geometric shapes and the equations to find their volumes or surface areas
| Question | Answer |
|---|---|
| Volume of a cone | "V = (1/3)πr²h" where 'V' is the volume, 'r' is the radius of the base, and 'h' is the height of the cone. |
| Surface area of a cone | "πr² + πrl" where 'r' is the radius of the base and 'l' is the slant height of the cone. |
| Surface area of a pyramid | SA = B + (1/2) * P * l, where B is the area of the base, P is the perimeter of the base, and l is the slant height of the pyramid. |
| Volume of a pyramid | V = (1/3) * B * h, where 'B' is the area of the base of the pyramid and 'h' is the height of the pyramid (the perpendicular distance from the apex to the base). |
| Volume of a sphere | V = (4/3)πr³, where 'r' represents the radius of the sphere. |
| Surface area of a sphere | 4πr², where 'r' represents the radius of the sphere. |
| Surface area of a cylinder | 2πr² + 2πrh, where 'r' is the radius of the circular base and 'h' is the height of the cylinder. |
| Volume of a cylinder | V = πr²h, where 'r' is the radius of the circular base and 'h' is the height of the cylinder. |