A cylinder has a diameter of 20cm.

Mathematics

1 answer:

Vladimir [108]3 years ago

5 0

Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

V = πr²h

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

20 * 3/5 = 60/5 = 12 cm

The radius is 1/2 of the diameter, so:

20 * 1/2 = 20/2 = 10 cm

Substitute 12 for h and 10 for r into the volume formula.

V = π(10)²(12)

Simplify.

V = π * 100(12)
V = π * 1200

The volume of a cylinder, in terms of π, is V = 1200π.

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