Question

A cone has radius 3
radius 3 cm and whose slant height is 5 cm is melted to form two spheres of equal
find the radius of the spheres.
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Answer 1

Answer:

you have type the question wrong.

Answer 2

Explanation:

Let 'R' be the radius of cone, 'h' be the height of the cone 'l' be the slant height of the cone and 'r' be the radius of sphere.

l²=h²+R²

5²=h²+3²

h²+9=25

h²=25-9=16

h=4cm

Volume of cone = Volume of two spheres

1/3πR²h=4/3πr³.

π gets cancelled.

1/3×3²×4=4/3×r³

12=8/3r³

r³=12×3/8

r³=36/8

r³=9/2

r=(9/2)^⅓