A cone of height 24cm and radius of base 6cm is made up of modelling c

1.	A cone of height 24cm and radius of base 6cm is made up of modelling clay. a child reshaped it inthe form of a sphere. Find the radius of the sphere.
Answer» $Given:\\\\<klux>CONE</klux>:\\h=24cm\\r=6cm\\Sphere:\\R=?\\\\Solution:\\$ Volume of cone = Volume of sphere $\frac{1}{3}\pi r^2h=\frac{4}{3} \pi R^3$ It is because no extra clay is USED nor clay is added so the AMOUNT of clay will REMAIN constant and hence volume will be equal. $\frac{1}{3}\pi (6)^224=\frac{4}{3}\pi R^3\\\\4R^3=3624\\R^3=924\\R^3=216cm\\R=6cm$ Hence, the radius of sphere of sphere is 6 cm. Hope it helps u..... :D

A cone of height 24cm and radius of base 6cm is made up of modelling clay. a child reshaped it inthe form of a sphere. Find the radius of the sphere.

Answer»

$Given:\\\\<klux>CONE</klux>:\\h=24cm\\r=6cm\\Sphere:\\R=?\\\\Solution:\\$

Volume of cone = Volume of sphere

$\frac{1}{3}\pi r^2h=\frac{4}{3} \pi R^3$

It is because no extra clay is USED nor clay is added so the AMOUNT of clay will REMAIN constant and hence volume will be equal.

$\frac{1}{3}\pi *(6)^2*24=\frac{4}{3}\pi R^3\\\\4R^3=36*24\\R^3=9*24\\R^3=216cm\\R=6cm$

Hence, the radius of sphere of sphere is 6 cm.

Hope it helps u..... :D

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A cone of height 24cm and radius of base 6cm is made up of modelling clay. a child reshaped it inthe form of a sphere. Find the radius of the sphere.

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