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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