Question

A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm find the radius of the base of the cone

Answer 1

Answer:

Step-by-step explanation:

Radius of hemisphere(R)=6cm

Height of cone(h)=75cm

Radius of cone(r)=??

Volume of hemisphere=volume of cone

2/3πR³=1/3πr²h

2/3×6×6×6=1/3×r²×75

By solving it we get

2×6×6×2/25=r²

√2×2×6×6/25=r

r=2×6/5

r=12/5

r=2.2cm

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Answer 2

Step-by-step explanation:

Volume of hemisphere= volume of cone

2/3πr^3 = 1/3πr^2h

2/3*22/7*6*6*6 = 1/3*22/7*r^2*75

r^2 = 2/3*22/7*6*6*6*3*7/22*1/75

r^2 = 5.72

r = 2.39cm