Question

A solid hemisphere of radius 14 cm is casted into a right circular cone of height
343 cm. Then, the radius of the base is
​

Answer 1

Answer:

Radius is 4×2^1/2 cm

Step-by-step explanation:

Volume of sphere = 4/3 × 22/7×r^3

Volume of cone = 22/7×r^2×h/3

Both wil be equal.

So. 4/3 × 22/7 × 14^3 = 22/7 × r^2 × 343/3 [ h of cone = 343 cm and radius of sphere = 14]

After simplifying we get radius is 4×2^1/2 (4 root 2) cm.