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Question

A wooden toy was made by scooping 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.


Solution

We have,

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

Height of the cylinder, h = 10 cm

Now,

Volume of the toy = Volume of the cylinder - Volume of the two hemispheres

πr2h −2×23πr3

= πr2(h4r3)
= πr2(104×3.53)

πr2(10143)

πr2(163)

= 227×3.5×3.5×(163)

=6163 cm3

= 205.33 cm3

So, the volume of wood in the toy is 6163) cm3 or 205.33 cm3.


Mathematics
Secondary School Mathematics X
Standard X

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