Math, asked by tmanisha1583, 10 months ago

The difference between the total surface area abd curved surface area of a hemisphere is 154cm, find its volume

Answers

Answered by 1626chauhan2525
9

Step-by-step explanation:

First we have find the value of r by the given information. Then by putting the value of r in the volume of hemisphere we can finds its volume.

Attachments:
Answered by BrainlyRaaz
13

Given :

  • The difference between the total surface area and curved surface area of a hemisphere is 154cm.

To find :

  • Volume of Hemisphere =?

Step-by-step explanation :

1st Case :

Total Surface Area of Hemisphere = 3πr²

And Curved Surface Area of Hemisphere = 2πr²

It is Given that :

The difference between the total surface area and curved surface area of a hemisphere is 154cm.

•°• Total Surface Area of Hemisphere - Curved Surface Area of Hemisphere. = 154.

Substituting the values, we get,

3πr² - 2πr² = 154

πr² = 154

r² = 154/π

r² = 154 × (7/22)

r² = 7 × 7

r² = 49

r = 7.

Therefore, We got the Radius of Hemisphere = 7 cm.

2nd Case :

We know that,

Volume of Hemisphere = 2/3πr³

Substituting the values in the above formula, we get,

= 2/3 × 22/7 × (7)³

= 2/3 × 22/7 × 7 × 7 × 7

= 2 × 22 × 7 × 7/3

= 2156/3

= 718.66

Therefore, Volume of Hemisphere = 718.66 cm³.


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