Question

A cone of height 24cm and radius of base 6cm is made up of clay a child reshapes it in form of sphere find radius

Answer 1

ANSWER:-------

given :-

height of the cone = 24cm

base radius of the cone = 6cm

therefore it's volume = 1/3πr²h

= 1/3 × 22/7 × 6 × 6 × 24

= 22/7 × 2 × 6 × 24

= 6336/7cm³

now, it's given that the cone is reshaped in the form of sphere.

the formula for the volume of a sphere is 4/3πr³

→ 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!!

Answer 2

height = 24cm

radius = 6cm

volume of cone = volume of sphere

1/3πr²h. = 2/3πr³

1/3*6*6*24=4/3*r³

288*3/4=r³

216. = r³

√216³=r

so,

r= 6cm