please answer this question
Answers
Step-by-step explanation:
Given side of a cube = 21 cm
Diameter of the hemisphere is equal to the side of the cubical piece (d) = 21 cm
Radius of the hemisphere = 10.5 cm
Volume of cube = Side3
= (21)3
= 9261 cm3
Surface area of cubical piece of wood = 6a2
= 6 × 21 × 21 cm2
= 2646 cm2
Volume of the hemisphere
π
= 44 0.5 10.5 10.5
= 2425.5 cm3
Surface area of hemisphere = 2πr2
= 2 × π × 10.5 × 10.5 cm
= 693 cm
Volume of remaining solid = Volume of cubical piece of wood – Volume of hemisphere
Volume of the remaining solid = 9261 - 2425.5
= 6835.5 cm3
Surface area remaining piece of solid = surface area of cubical piece of wood – Area of circular base of hemisphere + Curved Surface area of hemisphere
= 6a2 – πr2 + 2πr2
= (2646 – π × 10.52 + 693) cm2
= 2992.5 cm2.
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Answer:
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