the shape of a toy cylinder has a radius of 5cm and height of 8cm on top a hemisphere of radius 5cm , calculate the volume of the toy

  890.1 cm^3

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V =  πr^2h

Filling in the given numbers, we find the volume of the cylinder to be ...

  V = π(5 cm)^2(8 cm) = 200π cm^3

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The volume of a hemisphere is given by the formula ...

  V = (2/3)πr^3

Filling in the given radius, we find the hemisphere volume to be ...

  V = (2/3)π(5 cm)^3 = 250π/3 cm^3

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The total volume of the toy is presumed to be the sum of these volumes, so is ...

  toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3

  toy volume ≈ 890.1 cm^3

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