Question

a cone of height 24 cm and radius of the base 6 cm is made up of modelling clay. a child reshapes in the form of a sphere. find the radius of the sphere?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge{\boxed{\mathbb{ANSWER}}}$

• A a cone of height  =  24 cm
• Radius of the base  =   6 cm
• A child reshapes in the form of a sphere.
• We have to find : The radius of the sphere

Volume of Cone = 1/3 × π × r² × h

= 1/3 × π × 6 × 6 × 24 cm³

If ' r ' is the radius of Sphere, then its volume will be = 4/3 × π × r³.

Then, we have :

Volume of cone      =     Volume of sphere

1/3 × π × r² × h         =     4/3 × π × r³

1/3 × π × 6 × 6 × 24 =     4/3 × π × r³

3 × 3 × 24                =       r³

3³ × 2³                     =       r³

3 × 2                        =       r

6 cm                        =       r

Hence, the radius of the sphere will be = 6cm.