Physics, asked by sarfarajahmad1sami, 8 hours ago

a wooden log of diameter 84 cm has a length of 3.6m.what is the volume of the log? express the answer in m3​

Answers

Answered by ravan2009
56

Question:

A wooden log of diameter 84 cm has a length of 3.6m.what is the volume of the log? Express the answer in m3​

Given:

Diameter of Wooden Log = 84m

Length of the log = 3.6 m

To Find :

The Volume of the Log

Solution:

Diameter = 84cm = 0.84 m

Radius = 0.42

\frac{0.84}{2}\\\\\\=0.42

Volume =

\pi r^2h\\\\\\\frac{22}{7}\times0.42\times0.42\times3.6\\\\\\=1.99

Answer:

Volume of the log is 1.99m ³

Be Brainly!

Answered by BloomingBud
59

Given:

  • The diameter of a wooden log is 84 cm

So the radius of the wooden log is 84/2 = 42 cm

  • The length of the wooden log is 3.6 m = 360 cm
  • [1 m = 100 cm]

To find:

The volume of the log

The log is in the shape of a cylinder

So, the formula to find the volume of a cylinder is πr²h unit cube

Now,

The volume of the log is = \dfrac{22}{7} \times (r)^{2} \times (h)

The volume of the log is = \dfrac{22}{7} \times (42)^{2} \times (360)

The volume of the log is = 22 \times 6\times 42 \times (360)

The volume of the log is = 1995840 cm cube

Now,

Converting it into m cube

1 m = 100 cm

(1 m)³ = (100 cm)³

1 m³ = 1000000 cm³

1/1000000 m³ = 1 cm³

SO,

1995840/1000000 m³ = 1.995 m³

Hence

The volume of the wooden log is 1.995 m cube

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