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Answer:
235.404 cm³
Step-by-step explanation:
We have been asked to find the volume of the block .
The block consists of a cube and a hemisphere on top of it .
We will add both of the volumes and hence find the volume of the block .
Volume of the cube
Side of the cube is given as 6 cm .
Volume = side³
Volume of the given cube = ( 6 cm )³
⇒ 216 cm³ .
Volume of the hemisphere
Volume of hemisphere = 2/3 π r³
r = 4.2/2
⇒ r = 2.1 cm
⇒ 2/3 × 22/7 × ( 2.1 cm )³
⇒ 2/3 × 22/7 × 21³/10³ cm³
⇒ 2/3 × 22/7 × 21³/10³
⇒ 44/21 × 21³/1000
⇒ 44 × 21²/1000
⇒ 44 × 441/1000
⇒ 44 × 0.441
⇒ 19.404 cm³
Volume of the block
Volume will be 216 cm³ + 19.404 cm³
⇒ 235.404 cm³
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