A wooden toy was made by scopoping out a hemisphere of same radius from each end of a solid cylinder.If the height of the cylinder is $10\ cm$, and its base is of radius $3.5\ cm$, find the volume of wood in the toy. [ use $\pi =\frac{22}{7}$]

Given: A wooden toy was made by scopoping out a hemisphere of same radius from each end of a solid cylinder.If the height of the cylinder is $10\ cm$, and its base is of  radius $3.5\ cm$.

To do: Find the volume of wood in the toy.

Solution:

Height of the cylinder, h = 10 cm

Radius of the cylinder = Radius of each hemisphere = r = 3.5 cm

Volume of wood in the toy = Volume of the cylinder - 2 $\times$ Volume of each hemisphere

$\pi r^2h2\times\frac{2}{3}\pi r^3$

$\pi r^2(h-\frac{4}{3}r)$

$\frac{22}{7}\times(3.5)^2(10-\frac{4}{3}\times3.5)$

$38.5\times(10-4.67)$

$38.5\times5.33$

$205.205 cm^3$ 

Therefore, the volume of the toy is  $205.205 cm^3$

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Updated on: 10-Oct-2022

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