Question

The figure is made up of hemisphere and a cylinder.

what is the exact volume of the figure?
box [] cm^3

Answer 1

Data: (Cylinder)

h (height) = 8 cm

r (radius) = 5 cm

Adopting:

V (volume) = ?

Solving:(Cylinder volume)

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

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 5 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: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume

Volume of the figure = 628 cm³ + 261.6 cm³

Explanation: