Question

If the volume of a hemisphere is 19404 cm^3 then its diameter is

Answer 1

SOLUTION :-

here, given volume of hemisphere = 19404 cm³

now, by using the formula

Volume of hemisphere = 2/3 πr³

⇒2/3πr³ = 19404

⇒2/3×227×r³ = 19404

⇒44r³ = 19404×21

⇒r³ = 441×21

⇒r = 21

So, radius = 21 cm

therefore, diameter = 2r

= 2× 21

= 42 cm.

hence, the diameter of the hemisphere = 42 cm.

Answer 2

Hi there !

volume of a hemisphere = 2/3 πr³ = 19404 cm³

2/3πr³ = 19404

2/3 × 22/7 ×r³ = 19404

r³ = [19404 × 7 × 3 ] / [ 22 × 2 ]

r³ = 407484 / 44

r³ = 9261

radius , r = ∛9261
= 21 cm


Diameter = 2r = 2 ×21
= 42 cm

Hope this Helps You !!
:)