Geography, asked by aryandevi, 10 months ago

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

Answers

Answered by pranay0144
32

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}

Answered by Anonymous
12

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)

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