Respuesta :
Answer:
The volume of hemisphere is V = 59.4 [tex]cm^{3}[/tex]
Step-by-step explanation:
Diameter of hemisphere = 6.1 cm
Radius of hemisphere = 3.05 cm
We know that volume of hemisphere is given by
[tex]V = \frac{2}{3} \pi r^{3}[/tex]
[tex]V = \frac{2}{3} \pi (3.05)^{3}[/tex]
V = 59.4 [tex]cm^{3}[/tex]
Therefore the volume of hemisphere is V = 59.4 [tex]cm^{3}[/tex]
The volume of the hemisphere to the nearest tenth is 59.4cm^3
Volume of a hemisphere:
The formula for calculating the volume of hemisphere is expressed as:
[tex]V=\frac{2}{3} \pi r^3[/tex]
where:
Diameter of hemisphere = 6.1 cm
Radius of hemisphere = 3.05 cm
Substitute the radius into the formula;
[tex]V=\frac{2}{3} \pi (3.05)^3\\V=\frac{2}{3} \pi times 28.372\\V = 59.39cm^3[/tex]
Hence the volume of the hemisphere to the nearest tenth is 59.4cm^3
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