small cone with radius 3 centimetre is cut from the upper portion of the radius of the circular base is 12cm
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★ Corrected Question :
- small cone with radius 3 centimetre is cut from the upper portion of the radius of the circular base is 12cm , with height 20 cm. find h2 ? Also find volume of Frustum ?
★ Required Solution :
✰ Value Given to us :
- ➸ r1 = 12 cm
- ➸ h1 = 20 cm
- ➸ r2 = 3cm
✰ Formula Used Here :
- ➲ r1 / r2 = h1 / h2
✰ Putting Value in Formula :
- ➸ r1 / r2 = h1 / h2
- ➸ 12 / 3 = 20 / h2
- ➸ h2 = 5 cm
✰ Volume of Frustum :
- ⇢ 1 / 3 πrh ( r1² + r2² + r1 × r2 )
- ⇢1 / 3 × 22 / 7 × 15 ( 12² + 3² + 12 × 3 )
- ⇢ Volume = 110 / 7 × ( 144 + 9 + 36 )
- ⇢ Volume = 110 / 7 × 189
- ⇢ Volume = 2970 cm
★ Therefore :
- ➦ Volume of Frustum is 2970 cm
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Th Volume of Frustum is 2970 cm.
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