Math, asked by jaingauravkumar30, 10 months ago

a metalic sphere of radius 14 cm is melted and recast in small right circular cones each of diameter 7cm and height 8 cm find , how many such cones are formed ​

Answers

Answered by srushtirajput
1

hope it helps.... thanks

Attachments:
Answered by srikanthn711
16

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Given that,

metalic sphere of radius 14 cm

Volume of the sphere

=

\frac{4}{3} \pi \: r^{3}

\frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \times 14

= > 11,499 {cm}^{3}

________(1)

Volume of the cone

\frac{1}{3} \pi \: r {}^{2} h

Diameter= 7

Radius =

\frac{7}{2}

=3.5

\frac{1}{3} \times \frac{22}{7} \times 3.5 \times 3.5 \times 8

= > 103 {cm}^{3}

__________(2)

From( 1)and(2)equation

\frac{Volume \: \: of \: \: the \: \: \: sphere}{Volume \: \: \: of \: \: the \: \: cone}

= > \frac{11499}{103}

= > 112cones

112 cones form(approximate)

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