Question

Can someone please help with a few questions? For some of them I just need my answer checked. Thank you!!

1.The trunk of a pine tree will be cut up to make boards.
´The trunk is 52 feet long.
´The base of the trunk is a circle 1.5 feet across.
´The trunk tapers gradually to a point at the top.
Which expression best models the volume of the trunk?
A. pi*.75^2*52
B. pi*1.5^2*52
C.1/3*pi*.75^2*52
D.1/3*pi*1.5^2*52

Answer 1

I think the correct answer from the choices listed above is option B. The expression that best models the volume of the trunk would be  pi*1.5^2*52. The volume of a cylinder is calculated by the expression V=pi(r^2)h. Hope this answers the question. Have a nice day. Feel free to ask more questions.

Answer 2

The answer is A. pi*.75^2*52.

The trunk is of cylindrical shape.
The volume (V) of a cylinder:
V = π r² h
r - radius
h - height

It is given:
h = 52 feet (trunk is long 52 foot)
d = 1.5 feet (diameter of the trunk is 1.5 feet across)
r = d/2 = 1.5/2 = 0.75 feet

Now, just substitute h and r and π (π = 3.14) in the formula for the volume of the cylinder:
V = π r² h
V = 3.14 · 0.75² · 52

Thus, the correct choice is A. pi*.75^2*52