Respuesta :
Answer:
89.80 cm cubed
Step-by-step explanation:
A hemisphere is essentially just half of a sphere. We want to find its volume.
The volume of a sphere is denoted by: V = (4/3)π * r³, where r is the radius. That means the volume of a hemisphere, which is half a sphere, will be denoted by: V = (1/2) * (4/3)π * r³ = (2/3)π * r³.
Here, the radius is 3.5, so plug this in:
V = (2/3)π * r³
V = (2/3)π * (3.5)³ ≈ 89.80 cm cubed
Answer:
89.78 cm^3
Step-by-step explanation:
The volume of a hemisphere is half of the volume of a sphere.
The volume of a sphere:
4/3 π r^3
Multiply by 1/2
1/2(4/3 π r^3 )
2/3 π r^3
Volume of a hemisphere: 2/3 π r^3
The radius is 3.5 centimetres. Substitute 3.5 in for r.
v=2/3 π r^3
v=2/3 π 3.5^3
Evaluate the exponent
v=2/3 *π *42.875
Multiply all the numbers together
v=89.7971900151
The volume of water it would contain is about 89.78 cm^3