contestada

curved surface area of a cone = Trl, where r is the
radius and I is the slant height.
surface area of a sphere = 42, where r is the
radius.
The shape below is made from a hemisphere and a
cone, each with a radius of 6 cm.
Work out the surface area of this shape in terms of .
16 cm
6 cm
Not drawn accurately

curved surface area of a cone Trl where r is the radius and I is the slant height surface area of a sphere 42 where r is the radius The shape below is made from class=

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sqdancefan

Answer:

  168π cm²

Step-by-step explanation:

The total surface area is the sum of the areas of the parts: a hemisphere and a cone.

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area formula

The area of a hemisphere is half the area of a sphere, so the total area is ...

  total area = hemisphere area + cone area

  = 2πr² +πrl

  total area = πr(2r +l)

__

application

For the given dimensions, r = 6 cm, l = 16 cm, the total surface area is ...

  total area = π(6 cm)(2(6 cm) +16 cm) = π(6)(28) cm²

  total area = 168π cm²

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