Question

february 4, 2026
block
cool down
cylinder
v = πr²h
v = (1/3)πr²h
v = (4/3)πr³
find the volume of a cylinder with a diameter of 19 km and a height of 5 km in terms of π and using 3.14 for π. label your answer!
the volume of the cylinder is v =

Explanation:

Step1: Find the radius

The diameter is 19 km, so the radius \( r=\frac{19}{2}=9.5 \) km.

Step2: Calculate volume in terms of \( \pi \)

Using the formula \( V = \pi r^{2}h \), substitute \( r = 9.5 \) and \( h = 5 \).
\( V=\pi\times(9.5)^{2}\times5=\pi\times90.25\times5 = 451.25\pi \) cubic kilometers.

Step3: Calculate volume using \( 3.14 \) for \( \pi \)

Substitute \( \pi = 3.14 \) into \( 451.25\pi \).
\( V = 451.25\times3.14=1416.925 \) cubic kilometers.

Answer:

In terms of \( \pi \): \( 451.25\pi \) cubic kilometers; Using \( 3.14 \) for \( \pi \): \( 1416.925 \) cubic kilometers.