Question

Example
A solid hemisphere of radius 6 cm is melted to form a rod of length 12 cm. Find
the radius of the cross section of the rod.​

Answer 1

Step-by-step explanation:

hence the radius of the rod is 2root6

Answer 2

The radius of the cross section is 2√3 cm.

• A solid hemisphere is given as 6cm and is melted into a rod of length 12 cm.
• We have to find the radius of cross section of the rod.
• Volume of the hemisphere will be equal to the volume of rod.
• The shape of the rod is a cylinder with length of rod equal to height of the cylinder.

Volume of hemisphere = Volume of rod,

• Given radius of sphere is 6 cm and height of the rod is 12 cm.

Substituting the values we get,

(2/3)πr³ = πr²h

(2/3)×6³ = r²×12

r² = 12

r = 2√3 cm.

• Radius of cross section is 2√3 cm.