What is the Volume of a hemisphere with a radius of 3.6 cm, rounded to the nearest tenth of a cubic centimeter?
The volume is approximately 97.7 cubic centimeters.
To calculate the volume of a hemisphere, you can use the formula:
V = (2/3) * π * r^3
Where:
- V is the volume of the hemisphere
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the hemisphere
Given that the radius (r) is 3.6 cm, we can plug this value into the formula:
V = (2/3) * 3.14159 * (3.6)^3
Now, let's compute the volume:
V = (2/3) * 3.14159 * (3.6)^3 V = (2/3) * 3.14159 * 46.656 V = (2/3) * 146.52325 V ≈ 97.6822 cubic centimeters
Rounded to the nearest tenth, the volume is approximately 97.7 cubic centimeters.
Volume of a Hemisphere Formula
The formula to calculate the volume of a hemisphere is:
Volume = (2/3) * π * r^3
Where:
- Volume is the volume of the hemisphere,
- π is a mathematical constant approximately equal to 3.14159,
- r is the radius of the hemisphere.
This formula is derived from the formula for the volume of a sphere, 4/3πr^3, by halving it since a hemisphere is half of a sphere.
