Answer asap

the figure is made up of a cone and a hemisphere.

to the nearest whole number, what is the approximate volume of this figure?

use 3.14 to approximate π .

enter your answer in the box.

cm³

a 12 cm cone with a dome on top of it that has an 8 cm diameter

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: 

V (volume) = ?

Solving: (Cone volume)

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting:

If: We know that the volume of a sphere is  , but we have a hemisphere, so the formula will be half the volume of the hemisphere 

Formula: (Volume of the hemisphere)

Solving:

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

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I Hope this helps, greetings ... Dexteright02! =)