Question

how many solid cones of radius 3cm and height of 3cm each can be obtained from a solid sphere of radius 6cm​

Answer 1

Answer:

Step-by-step explanation:

Volume of Sphere = 4/3πr^3

As we know that radius of the sphere is 3cm

So , substitute the respective values

Volume of sphere = 4/3 x 3.14 x 3 x 3 x 3. ( π = 3.14 or 22/7 )

= 113.04 cm^3

Therefore,

Volume of the sphere = 113.04 cm^3

Volume of the sphere = Volume of the cone = 113.04cm^3

Hence,

Volume of the cone = 113.04cm^3

to solve this we should also know about the formula of volume of the cone

Volume of the cone = 1/3πr^2h

radius of the cone = 6cm

so,

equal the values

1/3πr^2h = 113.04cm^3

1/3 x 3.14 x 6 x 6 x h = 113.04

3.14 x 2 x 6 x h = 113.04

37.68 x h = 113.04

h = 113.04 / 37.68

h = 3 cm