from a solid cone,whose height is 16cm and radius of the bease is 12cm,a conical cavity of height 3cm and base radius 4cm is hollowed out that the bease of the cone form concentric circles . Find the volume of the remaining solid.
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Answer:
2361.28 cm³
Step-by-step explanation:
consider the 1st cone
height, h = 16cm
radius, r = 12cm
Volume = ⅓ πr²h
= ⅓ × π × 12 × 12 × 16
= 768π cm³
Consider conical cavity
h = 3cm
r = 4cm
Volume = ⅓ × π × 4² × 3
= 16π cm³
Volume of remaining solid = 768π - 16π
= 752π cm³
= 2361.28 cm³ ( approximately)
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