Question

A spherical ball is melted to form x equal cones . Wrire the formula to find the value of x

Answer 1

4r = hx

so 4r/h = x

Step-by-step explanation:

so here we can calculate the number of cones made by a sphere

Answer 2

The formula to find the volume of x is $\dfrac{4r}{h}$

Step-by-step explanation:

In this case, it is given that, a spherical ball is melted to form x equal cones. So,

The volume of spherical ball = x(volume of cone), x is the number of cones

$\dfrac{4}{3}\pi r^3=x\times (\dfrac{1}{3})\pi r^2h$

Here r is the radius of sphere and cone both

h is the height of the cone

$x=\dfrac{(4/3)\pi r^3}{(1/3)\pi r^2h}\\\\4r=hx\\\\x=\dfrac{4r}{h}$

Hence, this is the required solution.

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