Question

a solid is made by joining a hemisphere and cone on the same base but on opposite sides if volume of solid is 32π/3 cm3. And height of cone is 4 cm then find the base radius?

Answer 1

Answer:

Step-by-step explanation:

Let the required radius be r

Volume of hemisphere + Volume of cone = Volume of the solid

⇒2/3​πr3 + 1/3​πr2h = 32/3​π

⇒2r3 + 4r2 = 32

⇒r3 + 2r2 = 16

⇒r3 + 2r2 - 16 = 0

By replacing r with 2,we get the resultant as 0

Therefore, the required radius is 2cm