I will take care with my spelling LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Key words Formula Volume Surface area Perpendicular Height Slant Height Frustum Vertex Midpoint Cone Sphere Do you know any already? I will take care with my spelling
I will ignore distractions LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Example 1 Cone Curved surface area of a cone = TT r l Total surface area of a cone = TT r l + TT r² Volume = TT r²h 3 Curved surface area = TT x 5 x 12 = 188.4955 = 188.50 Base area = TT r² = TT x 5² = 78.54 Total surface area = 188.50 + 78.54 = 267.01cm² Volume = TT x 5² x 10 = 785.3981634 = 261.80 cm³ 3 3 R = 5 H = 10 L = 12 I will ignore distractions
Find the volume and surface area of these Cones LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Find the volume and surface area of these Cones V = 14241.89cm³ SA = 3480.89cm² V = 20.94cm³ SA = 56.54cm² V = 314.16cm³ SA = 282.74cm² V = 167.55cm³ SA = 201.07cm² 8cm I will work independently
I will complete all tasks LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Progress Check! How do you feel at this point in the lesson… Volume Surface area A) 150.80cm³ B) 150.79cm³ C) 150.78cm³ D) 150.81cm³ A) 188.49 cm² B) 188.50cm² C) 188.51 cm² D) 188.48cm² I will complete all tasks 4
Volume and SA of a Sphere (Grade A) I will ignore distractions LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Volume and SA of a Sphere (Grade A) Calculate the volume and surface area of the sphere below: r = 4 Volume of a sphere = Surface area of a sphere = Surface area of a sphere = Volume of a sphere = Volume of a sphere = Surface area of a sphere = Volume of a sphere = Surface area of a sphere = I will ignore distractions
Find the volume and surface area of these spheres LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Find the volume and surface area of these spheres V = 1437cm³ SA = 615.75cm² V = 57906cm³ SA = 7238.23cm² V = 1047.39cm³ SA = 498.76cm² 51.2cm V =10305994.70 mm³ SA = 229022.10mm² V = 70276.24cm³ SA = 8235.50cm² V = 24429.02cm³ SA = 4071.56 cm² R = 135 mm I will work independently
I will complete all tasks LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Progress Check! How do you feel at this point in the lesson… Volume Surface area A) 113.10 cm³ B) 113.11 cm³ C) 113.08cm³ D) 113.09cm³ A) 523.29 cm² B) 523.30 cm² C) 523.60cm² D) 523.59cm² I will complete all tasks 7
I will work independently LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Word Questions A/A* 1 2 3 I will work independently
Past exam Questions I can discuss my work Volume of a cylinder: TTr²h LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Past exam Questions Volume of a cylinder: TTr²h TT x 5² x 30 = 2356.19449 cm TT x 5² x 30 4/3 x TT x 5³ = 523.5987756cm X 3 = 1570.80 Volume remaining = 2356.20 – 1570.80 = 785.4cm³ I can discuss my work
Past exam Questions I can discuss my work LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Past exam Questions A marble paperweight consists of a cuboid and a hemisphere as shown in the diagram. The hemisphere has a radius of 4 cm. Not to scale Calculate the volume of the paperweight. I can discuss my work
Past exam Questions I can discuss my work LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Past exam Questions A hemispherical bowl of radius 6 cm has the same volume as a cone of perpendicular height 27 cm. Not drawn accurately Calculate the base radius, r, of the cone. I can discuss my work
Past exam Questions I can discuss my work LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Past exam Questions A cone has base radius 6 cm and height h cm. A smaller cone of base radius 2 cm and height 3 cm is cut from the top. The remaining frustum has dimensions as shown. Not drawn accurately Calculate the volume of the frustum. I can discuss my work
Past exam Questions Calculate the volume and surface area: LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Past exam Questions . 10cm 16cm Calculate the volume and surface area: I can discuss my work
Plenary I can discuss my work LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Plenary I can discuss my work