[tex]here \: is \: your \: answer[/tex]

To find the total surface area of a hemisphere, we need to add the surface area of the curved surface (the hemisphere) and the surface area of the circular base.

The surface area of the curved surface of a hemisphere is given by the formula:

A = 2πr^2

Where A is the surface area and r is the radius.

Plugging in the values, we have:

A = 2π(6 cm)^2

A = 2π(36 cm^2)

A = 72π cm^2

The surface area of the circular base of the hemisphere is given by the formula:

A = πr^2

Where A is the surface area and r is the radius.

Plugging in the values, we have:

A = π(6 cm)^2

A = π(36 cm^2)

A = 36π cm^2

To find the total surface area, we add the surface area of the curved surface and the surface area of the circular base:

Total surface area = 72π cm^2 + 36π cm^2

Total surface area = 108π cm^2

Therefore, the total surface area of the hemisphere with a radius of 6 cm is 108π cm^2.

Verified answer

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[tex]\large\tt\fcolorbox{fuchsia}{pink}{∣ ❥question࿐ ∣}[/tex]

• Given a hemisphere with a radius of 6 cm, find its total surface area.

[tex]\large\tt\fcolorbox{fuchsia}{pink}{∣ ❥Ꭺɴꮪꮃꭼꭱ࿐ ∣}[/tex]

• Given information

• Radius of hemisphere

=6cm

• Volume of hemisphere

[tex] \small\tt{ = \frac{3}{2}\pi r \: cube}[/tex]

• Now,

=3/2×3.14×6 cube

Answer,

[tex]\small\tt{452.16cm \: cube}[/tex]

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• Hope it helps uh