Find the volume of a solid made up of a cube of edge 7 cm mounted by a hemisphere of
diameter 7 cm
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Given:
- A solid is made up of a cube of edge 7 cm mounted by a hemisphere of diameter 7 cm.
To find:
- Volume of solid ?
Solution:
• Let's consider ABCD is a solid.
Where,
- Cube edge = 7cm
- Diameter of hemisphere = 7cm
• Let diameter of the hemisphere be d.
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« Now, Finding volume of cube,
→ Volume = egde³
→ (7)³
→ 343 cm³
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« Now, Let's find volume of hemisphere,
→ Volume = 2/3 × π × r³
- Radius = Diameter/2 = 7/2 = 3.5cm
→ 2/3 × 22/7 × (3.5)³
→ 44/21 × 42.875
→ 89.833 cm³
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« Lastly, Let's find volume of solid.
→ Volume of cube + Volume of hemisphere
→ 343 + 89.833
→ 432.833 cm³
∴ Hence, Volume of hemisphere is 432.833cm³.
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