Question

✪ELLOH



$\large\mathbf{HEY\: QUESTION❤}$


Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?


✪GIVE PROPER ANSWER​

Answer 1

Answer:

volume of hemisphere= Surface area of hemisphere

2/3πr³= 3πr². ( cancel π here)

2/3r³=3r². ( cancel r here )

2/3r=3

so,

r=9/2 ( radius)

diameter = 9/2*2

=9

Answer 2

☆ ANSWER ☆:-

Let the Radius of the Hemisphere be 'x'.

Volume of Hemisphere = Surface Area of Hemisphere.

=> ⅔πr³ = 3πr²

=> ⅔r = 3

=> r = 92

=> d = 9 Units.

Hence,

The Diameter of the Hemisphere = 9 Units.

• I Hope it's Helpful Ayan.