Find the volume of the cylinder. Round your answer to the nearest tenth.

We know diameter [tex]d=8[/tex] and height [tex]h=16[/tex].
First find the radius of the bottom of the cylinder,
[tex]r=\dfrac{d}{2}=\dfrac{8}{2}=4[/tex].
Then find the area of the bottom of cylinder,
[tex]A=\pi r^2=16\pi[/tex].
Then to find volume just multiply the height with the area of the bottom of the cylinder,
[tex]V=Ah=16\cdot16\pi=16^2\pi\approx804.247\mathrm{cm^3}[/tex].
Hope this helps.
Answer:
803.8 cubic centimeters (to the nearest tenth)
Step-by-step explanation:
Volume of a cylinder, V = πr²h
π = 3.14
From the question,
r = radius = diameter/2 = 8cm/2 = 4cm
h = height of the cylinder = 16cm
We substitute these values into the formula
V = πr²h
V = 3.14 X 4²cm² X 16cm
V = 803.8cm³
Therefore, the volume of the cylinder is 803.8 cubic centimeters to the nearest tenth