Question

(ii) There is a hemispherical bowl. A cone is to be made such that, if it is filled with
water twice and the water is poured in the bowl, it will be filled completely. State
how will you decide the radius and the perpendicular height of the cone?
​

Answer 1

Answer:

The radius and perpendicular height of the cone is equal.

Step-by-step explanation:

In case of hemisphere

Volume of hemisphere =2/3πr³

In case of cone

Volume of cone=1/3πr²h

Now,

Volume of hemispherical bowl= Twice the Volume of cone

2/3πr³ = 2 x 1/3πr²h

2/3πr³ = 2/3πr²h

( 2/3π is cancelled on both sides )

r³/r²=h

r=h                solved........................