A hemisphere of lead of radius 7/2 cm is cast into a right circular cone of height 49/2cm. Find the base radius of the cone?????
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Let us assume that, the base of radius of cone is r cm .
so,
→ Volume of cone = Volume of hemisphere
→ (1/3) * π * r² * h = (2/3) * π * (R)³
→ r²h = 2R³
→ r² * (49/2) = 2 * (7/2)
→ r² * (49/2) = 7
→ r² = (2 * 7)/49
→ r² = (2/7)
→ r = √(2/7) cm (Ans.)
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