47.6k views
4 votes
The circumference of a redwood tree trunk is 16π ft, and it is 100 ft tall. using a right cylinder to model the trunk, what is the approximate volume of the redwood tree trunk? a. 2,560π ft3 b. 640π ft3c. 25,600π ft3 d. 6,400π ft3

User Tilly
by
7.5k points

2 Answers

2 votes

Answer:

6400π

Explanation:

User Tiois
by
7.4k points
1 vote

Answer:

6400π

Explanation:

Because we know the circumference and we need to know the radius, we can divide 2π out of 16π, leaving us with a radius of 8.
The area of a circle can be calculated with πr^2, so plugging in the radius we get an area of 64π.
Lastly, to calculate the volume of the tree we will simply multiply the area of the circle by the height of the tree: 64π*100, leaving us with an answer of 6400π.

User Tim Barclay
by
6.9k points