Question

The total surface area of a metallic hemisphere is 1848 cm. The hemisphere is melted to form a solid right circular cone. If the radius of the base of the cone is the same as the radius of the hemisphere its height is

Answer 1

Answer:

28 cm.

Step-by-step explanation:

3π r2 =1848

3πr2=1848

r2=

1848×7

3×22

=196

r2=1848×73×22=196

⇒r=14cm

⇒r=14cm

According to the question

2

3

π r³=

1

3

π r2 h

2/3 πr³ =1/3 πr²h

⇒2r=h

⇒h=2×14=28cm

⇒h=2×14=28cm