If the difference between the total surface area and curved surface area of a hemisphere is 154 cm2, then its volume is 718.66 cm³
<h3>What is hemisphere?</h3>
In general, the term "hemisphere" refers to the lower half of the earth, such as the northern or southern hemispheres. A hemisphere, however, is a 3D figure that is created by splitting a sphere into two equal halves, each with one flat side, and is known as such in geometry.
In everyday life, we encounter a variety of objects that have a hemisphere shape, such as a cherry that is shaped like a hemisphere when cut in half or a grapefruit that has a hemisphere shape when cut in half.
The difference between the total surface area and curved surface area of a hemisphere is 154cm.
Total Surface Area of Hemisphere = 3πr²
And Curved Surface Area of Hemisphere = 2πr²
It is Given that
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
⇒ r = 7.
Now, lets find the volume which is
Volume of Hemisphere = 2/3πr³
V = 2/3π(7)³
V = 2/3(22)(7)²
V = 2156/3
V = 718.66 cm³
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