Hello there. To solve this question, we'll have to remember how to calculate the volume of a cylinder, given its height and diameter of the base.
Given the following cylinder:
Its volume can be calculated by the formula:
[tex]V=A_b\cdot h[/tex]
in which:
[tex]A_b=\pi\cdot\frac{D^2}{4}[/tex]
Is the area of the base given the diameter D
Plugging in this, we have:
[tex]V=\pi\cdot\frac{D^2}{4}\cdot h[/tex]
Using the values given by the question, we have:
D = 14 cm
h = 7 cm
Therefore
[tex]V=\pi\cdot\frac{14^2}{4}\cdot7[/tex]
Calculate the square and simplify the fraction
[tex]\begin{gathered} V=\pi\cdot\frac{196}{4}\cdot7 \\ V=\pi\cdot49\cdot7 \end{gathered}[/tex]
Multiply the numbers
[tex]V=343\pi cm^2[/tex]
