Question

Anna had a solid wooden dowel with a length of 12 inches and a diameter of 1 inch, as shown below. She cut a two-inch portion out of the dowel as indicated. What was the volume, to the nearest tenth of a cubic inch, of the portion of the dowel that Anna cut out?

Answer 1

Volume of the portion = 1.6 cubic inches

Explanation:

Since, wooden dowel is in the shape of a cylinder,

Formula to be used to find the volume of the part Anna has cut from the dowel will be,

Volume = πr²h

Where r = radius of the cylinder or part of the wooden dowel

h = length of the portion

By substituting the values in the formula,

Volume = π(0.5)²(2)

= 0.5π

= 1.57 in³ ≈ 1.6 cubic inch

Therefore, volume of the portion will be 1.6 in³.