LO Calculate the volume and surface area of

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

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 R = 5 H = 10 L = 12 = TT x 5² = 78. 54 Total surface area = 188. 50 + 78. 54 = 267. 01 cm² Volume = TT x 5² x 10 = 785. 3981634 = 261. 80 cm³ 3

LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) V = 20. 94 cm³ SA = 56. 54 cm² V = 167. 55 cm³ SA = 201. 07 cm² 8 cm V = 14241. 89 cm³ SA = 3480. 89 cm² V = 314. 16 cm³ SA = 282. 74 cm²

LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Calculate the volume and surface area of the sphere below: Volume of a sphere = r = 4 Surface area of a sphere = Volume of a sphere = Surface area of a sphere =

LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Find the volume and surface area of these spheres V = 1437 cm³ SA = 615. 75 cm² V = 24429. 02 cm³ SA = 4071. 56 cm² V = 57906 cm³ SA = 7238. 23 cm² V = 1047. 39 cm³ SA = 498. 76 cm² 51. 2 cm V =10305994. 70 mm³ SA = 229022. 10 mm² V = 70276. 24 cm³ SA = 8235. 50 cm² R = 135 mm

Finding the radius given the volume of a sphere

Finding the radius given the volume of the cone

LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Past exam Questions Volume of a cylinder: πr²h TT x 5² x 30 Volume remaining = 2356. 20 – 1570. 80 = 785. 4 cm³

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. Calculate the volume of the paperweight

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.

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 = 9 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. Calculate the volume of the frustum

LO: Calculate the volume and surface area of a Sphere and Cone (Grade A) Past exam Questions . 10 cm 16 cm Calculate the volume and surface area:

LO: Calculate the volume and surface area of a Sphere and Cone (Grade A)

A cylinder of radius 5 cm and height 6 cm is melted and recast into a cone of radius 3 cm. What is the height of the cone?

A cone of radius 6 cm and height 4 cm is melted and recast into spheres of radius 1 cm. How many spheres are made?