from a solid cylinder of height 14cm and base diameter 7cm two equal conical holes each of radius 2.1cm and height 4cm are hollowed out find the volum of remaining solid
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Answered by
3
HEYA!
Volume of cylinder= π×r×r×h
=22/7×3.5×3.5×14
=539 sqcm
Volume of conical holes=1/3π×r×r×h
=1/3×22/7×2.1×2.1×4
=18.48 sqcm
There are two conical holes so
2×18.48
=36.96 sqcm
So remaining volume= 539 - 36.96
=502.04 sqcm
HOPE IT WORKS!!!
Answered by
2
Answer:
502.04
Step-by-step explanation:
Volume of cylinder= π(r^2)(h)
=22/7(7/2)(7/2)(14)
=539 cm^3.
Volume of conical holes= 2[(1/3)(πr^2)(h)
=2[(1/3)(22/7)(2.1)(2.1)(4)
=2[18.48]
=36.96
Volume of remaining solid= Volume of cylinder- Volume of cone
=539 cm^3- 36.96cm^3
Volume of remaining solid=502.04 cm^3.
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