#MeasurementAndSpace #Path #Stn #Adv >[!info]- [Volume B (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fa7092943a) >- MA5-VOL-P-01 applies knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | --------------- | ----------------------------- | --------------------------------------------------------------------- | | [[Equations B]] | - solving cubic equations | - solving problems involving volume formulas | | [[Volume A]] | - volumes of composite prisms | - volumes of composite prisms involving pyramids, cones, and spheres. | ## [[Solve problems involving volumes.pdf]] - Find the volume of right pyramids and right cones by using an appropriate formula: volume of pyramid or cone $V=\frac{1}{3}Ah$, where $A$ is the base area and ℎ is the perpendicular height - Find the volume of spheres by using an appropriate formula: volume of sphere $V=\frac{4}{3}\pi r^{3}$, where $r$ is the length of the radius - Apply knowledge of right pyramids, right cones and hemispheres to solve problems involving composite solids - Solve practical problems related to the volumes and capacities of solids including right pyramids, right cones and spheres