Question

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

Answer 1

Answer:

The Diameter of hemisphere is 9 units.

Step-by-step explanation:

Let ‘r’ be the radius of the hemisphere.

Given :

Volume of hemisphere = Surface area of hemisphere

(2/3)πr³= 3πr²

(2/3)πr³ / r² = 3π

(2/3)r = 3

Radius of hemisphere, r  = 3 × 3/2

Radius of hemisphere, r = 9/2

Radius of hemisphere,r = 9/2 units

Diameter = 2 × Radius

Diameter of hemisphere = 2 ×  (9/2)

Diameter of hemisphere = 9 units.

Hence, the Diameter of hemisphere is 9 units.

HOPE THIS ANSWER WILL HELP YOU ..

Answer 2

HeRe Is Your Ans

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Volume of a hemisphere = Surface Area Of Hemisphere

( 2 / 3 )πR³ = 3 πR²

( 2 / 3 )πR³ = 3 πR²

( 2 / 3 )πR³ / R² = 3 π

( 2 / 3 )πR / π = 3

( 2 / 3 )R = 3

2R = 9

R = 9 / 2 units

We know That ,

Diameter = 2 × R

Diameter = 2 × 9 / 2

Diameter = 9 units

Hence , diameter of hemisphere is 9 units

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