Question

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

Answer 1

Step-by-step explanation:

Hola !

Given,

radius is r

radius of cone =height of hemisphere

Such that,

height of cone =radius of hemisphere

From this,

height of hemisphere is r

And we know that,

volume of cone =⅓πr²h

=⅓πr²r

=⅓πr³

Thank you

# Astro

Answer 2

Answer:

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=

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

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