Question

A cone, a hemisphere and a cylinder stand on equal

bases have the same height. Prove that their volumes

are in the ratio 1 : 2 : 3​

Answer 1

$\huge\bold{\mathtt{\purple{ A{\pink{ N{\green{ S{\blue{ W{\red{ E{\orange{ R}}}}}}}}}}}}}$

1 : 2 : 3

$\huge\underline\mathfrak{Explanation}$

Given.

ɑ cone, ɑ hemisphere, ɑnd ɑ cylinder stɑnd on equɑl bɑses.

Hence rɑdius of bɑse of cone = rɑdius of hemisphere = rɑdius of cylinder=r

ɑnd,

They ɑlso hɑve sɑme height =h

Hight of cone =h

Hight of cylinder=h

Hight of Hemisphere r=h (r is the rɑdius of sphere)

Now,

Volume of cone VC = ↑ in the pic

♡━━━━━━━━━━━━━━━♡

#fσℓℓσω