Question

A shot put a of radius 14cm is recast into a cone of radius 14cm find the height of cone
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Answer 1

Answer:

56cm

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Answer 2

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Sphere( Shot put ):

r = 14 cm

Volume = $\frac{4}{3}$πr³

=>$\frac{4}{3}$×$\frac{22}{7}$×(14)³

=>$\frac{34496}{3}$

Cone:

r = 14 cm

Volume of Cone = Volume of sphere

=>$\frac{1}{3}$πr²h = $\frac{34496}{3}$

=>$\frac{1}{3}$×$\frac{22}{7}$×(14)²×h = $\frac{34496}{3}$

=>22×14×2×h = 34496

=>h = $\frac{34496}{22×14×2}$

$\huge\orange{\fbox{\pink{\text{h=56}}}}$

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