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What is the approximate volume of a tree trunk if the trunk is 13 feet tall with a circumference of 4.5 feet?

A. 17.16 ft3
B. 21.17 ft3
C. 33.09 ft3
D. 27.14 ft3

Respuesta :

nobillionaireNobley
circumference = 2pi * r = 4.5
r = 4.5 / 2pi = 0.7162

Volume of a cylinder = pi * r^2 * h
= pi * (0.7162)^2 * 13
=20.95

which is approximately close to 21.17ft^3

Answer: 21.17ft^3
akposevictor

The volume of the cylindrical trunk is calculated as approximately: B. 21.17 ft³.

What is the Volume of a Cylinder?

Volume = πr²h

The dimensions of the cylindrical trunk are:

  • Height = 13 feet
  • Circumference = 4.5 feet

Find radius (r) using the circumference of a circle formula:

4.5 = 2(π)r

4.5/2π = r

r = 0.7 feet

Volume of the cylindrical trunk = π(0.7²)(13) = 20.01 ft³ (close to 21.17 ft³)

The approximate volume of the cylindrical trunk is: B. 21.17 ft³.

Learn more about the volume of a cylinder on:

https://brainly.com/question/9554871

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