Question

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

Answer 1

the answer: that is the radius of cone is root 550

Answer 2

ʜᴇɪɢʜᴛ ᴏғ ᴄᴏɴᴇ=24

ʀᴀᴅɪᴜs=6ᴄᴍ

ᴠᴏʟ ᴏғ ᴄᴏɴᴇ=1/3πʀ^2ʜ

=1/3π*6^2*24

=1/3π*36*24

=288πᴄᴍ^3

ʟᴇᴛ ᴛʜᴇ ᴠᴏʟ ᴏғ sᴘʜᴇʀᴇ4/3π^3

ᴠᴏʟ ᴏғ sᴘʜᴇʀᴇ=ᴠᴏʟ ᴏғ ᴄᴏɴᴇ

4/3π^3=288π

4/3^3=288

ʀ^3=288*3/4

ʀ^3=72*3

ʀ^3=8*9*3

ʀ^3=(2*2*2*3*3*3)

ʀ=(2*2*2*3*3*3)1/3

ʀ=(2*2*2)1/3 * (3*3*3)1/3

ʀ=(2^3)1/3 * (3^3)1/3

ʀ=2*3

ʀ=6ᴄᴍ

ᴛʜᴇʀᴇғᴏʀᴇ ᴛʜᴇ ʀᴀᴅɪᴜs ɪғ ᴄɪʀᴄʟᴇ ɪs 6ᴄᴍ