Question

A cone of height 24 cm and radius of base 6 cm is made up of modelling. Clay. A child reshapes it in the form of sphere. Find the radius of the sphere

Answer 1

Height of cone =24cm

Radius of cone=6cm.

Since,

Cone is reshaped to form a sphere

Therefore,

Volume of cone = volume of sphere

1/3pie r^2h. = 4/3 pie r^3

1/3×22/7×(6)^2×24=4/3×22/7×r^3

1/3×22/7×6×6×24×3/4×7/22=r^3

6×6×6 = r^3

6^3. =r^3

6. =r

Therefore,

The radius of sphere is 6 cm.

Answer 2

Answer:

6 cm

Step-by-step explanation:

To answer this question we need to get the volume of the cone.

Formula for getting the volume of the cone is given by :

Volume = 1/3πr²h

The volume of the cone = 1/3 × 3.142 × 6² × 24 = 904.896 cm³

The cone is made into a sphere.

the volume of a sphere is given by:

Volume = 4/3πr³

The cone and the sphere will have the same volume.

We equate the two as follows:

904.896 = 4/3 × 3.142 × r³

r³ = 904.896/3.142 × 3/4

r³ = 216

r = ∛216

r = 6

The radius of the sphere is given as 6 cm