Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids (VCMMG365)

LO: To find surface area and volume of spheres.

Know:

  • the formula for calculating the area of 2-D shapes

  • the formula for calculating the volume and surface areas of spheres.

  • the definition of volume and surface area.

  • how to convert between different units of measurement eg.) mm to cm, cm to m and m to km include those involving 2 and 3 dimensions.

Understand:

  • That formulas can be used to quickly and efficiently to calculate the surface area and volume of spheres.

Do:

  • I can find the surface area and volume of spheres and solve related problems.

Elaborations

  • using formulas to solve problems

  • using authentic situations to apply knowledge and understanding of surface area and volume

Spheres

A sphere is a round solid figure where every point on its surface is exactly the same distance from the centre.


Volume of Spheres

To find the volume of a sphere, you need to multiply the radius cubed of the sphere by π then by 4 and divide the answer by 3.

Calculating the Surface Area of Spheres

To find the surface area of a sphere, you need to multiply the radius squared of the sphere by π and then multiply the answer by 4.

Surface Area and Volume of Spheres Videos