a) To find the radius, we need to use the formula for the circumference of a circle:
C = 2πr
where C is the distance around the cross section and r is the radius.
Plugging in the given value:
47.1 = 2πr
Solving for r:
r = 47.1/2π
r ≈ 7.5 cm
Therefore, the radius of the cross section is approximately 7.5 cm.
b) To find the volume of the trunk, we can use the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Plugging in the values we found:
V = π(7.5)^2(0.7)
V ≈ 197.4 cm^3
Therefore, there are approximately 197.4 cm^3 of wood in the trunk.
The main trunk of a tree is in the shape of a cylinder.The distance around its of the cross section is 47.1cm and its height is 0.7m .
a) What is the radius of the cross section?
b) The volume of wood is there in the trunk? Show your work
1 answer