Question

The radius of a metallic sphere is 7 cm . if it melted and mold in some cones of radius 7 cm and height of 4 cm , solve​

Answer 1

Answer:

given:radius of sphere r1= 7cm

Volume of sphere =4/3$\pi$$r^{3}$

V=4/3·$\pi$$7^{3}$

v=4/3·$\pi$343

V=1372/3·$\pi$

Radius of cone=7cm

Height of the cone=4cm

Volume of cone=1/3$\pi$$r^{2}$h

V=1/3·$\pi$·$7^{2}$·4

V=196/3·$\pi$

As we know the volume of both the object will remain same

volume of sphere /volume of 1 cone=no of cones

1372/3·$\pi$÷196/3·$\pi$

1372/3÷196/3=$x$

1372×3/196/3=$x$

1372/196=$x$

7=$x$

So we can make 7 cones after melting thet sphere

OK

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Step-by-step explanation: