Question

The volume of a tree stump can be modeled by considering it as a right cylinder. Madeline measures its circumference as 102 in and its volume as 23844 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.

Answer 1

The height of the stump is 2.6 feets

Using the parameters given :

• circumference = 102 inches
• Volume of cylinder = 23844 in³

Using the circumference formula, we can deduce the radius:

• C = 2πr

102 = 2 × 3.14 × r

r = 102/(2×3.14)

r = 16.24 in

The volume of a cylinder is :

• volume = πr²h

Now we have ;

23844 = 3.14 × 16.24² × h

h = 23844 /(3.14 × 16.24²)

h = 31.21 inches

12 inches = 1 feet

31.21 / 12 = 2.600 feets

Hence, the height is 2.6 feets