A tree has a circumference of 16 ft. Calculate the volume of wood it contains if the tree is 10ft tall. Round your answer to the

Question

atroni [7]

3 years ago

8

A tree has a circumference of 16 ft. Calculate the volume of wood it contains if the tree is 10ft tall. Round your answer to the

nearest whole number.
a0 cubic feet

Mathematics

1 answer:

Veronika [31] · Answer 1 · 2022-02-08T18:26:27+03:00

Answer:

Step-by-step explanation:

The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

If the tree has a circumference of 16 ft, it means that

2πr = 16

πr = 16/2 = 8

r = 8/π

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

if the tree is 10ft tall, then the volume of wood it contains is

Volume = π × (8/π)² × 10

Volume = 64/π × 10

Volume = 64/3.14 × 10

Volume = 204 cubic feet