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Dvinal [7]
3 years ago
7

The largest possible cylinder is carved out from a cube of sides 4 cm each. What is the volume of the cylinder?

Mathematics
2 answers:
EleoNora [17]3 years ago
8 0

Answer:

The cube has a side 4 cm long. This would mean the top of the cylinder ( circle) would have a diameter of 4 cm. and the height would also be 4 cm.

Volume of a cylinder is: Volume = πr^2h

r = radius = 4/2 = 2

h = height = 4

In terms of PI:

Volume = 2^2 x 4 x π

Volume = 16π cubic cm.

Using 3.14 for PI:

Volume = 3.14 x 2^2 x 4

Volume = 50.24 cubic cm.

telo118 [61]3 years ago
5 0

Answer:

\text{Volume of cylinder}=16\pi\text{ cm}^3\approx 50.27\text{ cm}^3

Step-by-step explanation:

We have been given that the the largest possible cylinder is carved out from a cube of sides 4 cm each.

Since the cylinder is carved out from a cube of sides 4 cm each, so diameter and height of cylinder would be 4 cm each.

\text{Volume of cylinder}=\pi r^2h

r=\frac{d}{2}=\frac{4}{2}=2

\text{Volume of cylinder}=\pi (\text{2 cm})^2\times \text{4 cm}

\text{Volume of cylinder}=\pi*4\text{ cm}^2\times \text{4 cm}

\text{Volume of cylinder}=\pi*16\text{ cm}^3

\text{Volume of cylinder}=50.265482457\text{ cm}^3

\text{Volume of cylinder}\approx 50.27\text{ cm}^3

Therefore, the volume of the cylinder is approximately 50.27 cubic cm.

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