Question

A cone of height 24cm and radius of bace 6cm is made up of modelling clay .A child moulds it in the form of a sphere. find the radius of the sphere​

Answer 1

ANSWER:-------

given ::

height of the cone = 24cm

base radius of the cone = 6cm

it's volume = 1/3πr²h

= 1/3 × 22/7 × 6 × 6 × 24

= 22/7 × 2 × 6 × 24

= 6336/7cm³

according to the question, the cone us remoulded in the form of a sphere.

therefore volume of the cone = volume of the sphere

→ 4/3πr³ = 6336/7cm³

→ 4/3 × 22/7 × r³ = 6336/7cm³

→ 88/21 × r³ = 6336/7cm³

→ r³ = 6336/7 × 21/88

→ r³ = 72 × 3

→ r³ = 216

→ r = ³√216

→ r = 6cm

hence, the radius of the sphere is 6cm.

T!–!ANKS!!