Q. 83.5( 26 Votes )

# In figure 7.11, a toy made from a hemisphere, a cylinder and a cone is shown. Find the total area of the toy.

Answer :

Radius of circular region, r = 3cm

Height of Cylinder, H = 40cm

Height of cone, h = 4cm

As we know,

Surface area of hemisphere, A_{H} = 2πr^{2}

Surface area of cylinder, A_{cy} = 2πrH

Surface area of cone is,

A_{CO} = 5πr

Total area = A_{H} + A_{CY} + A_{CO}

On substituting the values, we get,

⇒ Total area = πr(2r + 2H + 5)

⇒ Total area = π× 3× (6 + 80 + 5)

⇒ Total area = 273π

∴ total area of the figure is 273π sq. cm

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