Question

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay.A child reshapesit in the form of a sphere.find the diameter of the sphere.​

Answer 1

Step-by-step explanation:

given

height of cone=20cm

radius of cone=5cm

so,

volume of cone=volume of sphere

1/3πr^2h=4/3πr^3

$\frac{1}{3} \times \pi \times {5}^{2} \times 20 = \frac{4}{3} \times \pi \times {r}^{3} \\ \\ 25 \times 20 = 4 \times {r}^{3} \\ 25 \times 5 = {r}^{3} \\ 125 = {r}^{3} \\ \sqrt[3]{125} = r \\ r = 5$

we know that

diameter is twice of its radius

so,

diameter of sphere=5*2

=10cm

I hope it will be helpful