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3 years ago

The figure is made up of a cone and a cylinder.

Mathematics

1 answer:

professor190 [17]3 years ago

4 0

Answer:

38 mm³

Step-by-step explanation:

Calculate the volume of the cylinder and of the cone separately.

1. Volume of cylinder

The formula for the volume V of a cylinder is

V = πr²h

Data:

D = 4 mm

h = 2 mm

Calculations:

a. Calculate the radius

D = 2r

r = D/2 = 4/2 = 2 mm

b. Calculate the volume

V = 3.14 × 2² × 2 = 25.12 mm³

2. Volume of cone

The volume for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓ × 3.14 × 2² × 3

V = 18.85 mm³

3. Calculate the total volume

V = 25.12 mm³ + 12.57 mm³ = 38 mm³

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