Question

find the maximum volume of a cone that can be carved be out of a solid hemisphere of radius r​

Answer 1

Explanation:

Hello

Step-by-step explanation:

Solution:-

♥️ Radius of the base of cone=radius of sphere=r

Also

Height of the cone= radius of the hemisphere

Therefore

Volume of the cone=

$= \frac{1}{3} \pi {r}^{2} \times r$

$= \frac{1}{3} \pi {r}^{3}$

Answer 2

Solution

Radius of hemisphere= Radius of cone= height of cone= "r"

➔Volume of cone= 1/3*(πr²h)

Also,

(Radius of hemisphere=height of the cone)

Therefore,

➔Volume=1/3*(πr³)