Question

A cylindrical tree trunk is 17 yards tall from the ground to the first tree branch, and it measures 5 yards around. To the nearest cubic yard, what is the volume of this section of the tree trunk? Use 3.14 for pi.

a 334 cubic yards
b 78 cubic yards
c 1335 cubic yards
d 34 cubic yards

Answer 1

c: 1,335 yd³

Explanation:

The formula for volume of a cylinder is V = πr²h where r is the radius of the base circle, and h is the height of the cylinder

We are given r = 5, and h = 17. Plug them in and solve for V...

V = π(5²)(17)

V = π(25)(17)

V = 425π

V = 425(3.14) = 1,334.5 yd³,

so 1,335 yd³ rounded to the nearest cubic yard