Surface Area and Volume of 3D shapes

Cones

A cone with labelled dimensions: radius (r) and height (h). Two text boxes explain the formulas:"Volume: one-third times pi times radius squared times height""Surface area: pi times radius squared plus pi times radius times sloped height (L)"

Example

Volume:

\frac{1}{3}π × 32 × 4 = 37.7 cm3 (1 d.p)

Surface area:

= π x 32 + π × 3 × 5

=   + 15π

= 75.4 cm2 (1 d.p)

Spheres

A sphere with labelled dimension: radius (r). Two text boxes explain the formulas:"Volume: four-thirds times pi times radius cubed""Surface area: four pi times radius squared"

Example

Volume:

\frac{4}{3}π × 143 = 11,494 cm3

Surface area:

= 4π × 142

= 784π

= 2,463 cm2

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