Question

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay a child reshape it in the form of a square find the diameter of the sphere

Answer 1

Answer:

Step-by-step explanation:

Height of the cone is =20cm

Radius of the base of the cone = 5cn

Volume of cone is: 1/3 base area * height

= 1/3*πr^2*h

=1/3*π25*20

=(π500)/3

Now the cone is moulded into a sphere so the volume of cone will be equal to the volume of a sphere so,

Volume of cone= volume of sphere

or, π500/3= 4/3πr^3

or, r^3 = 125

or, r^3= 5^3

So, r= 5cm

Then the diameter of the sphere is 2*5cm

10 cm is the diameter of the sphere