Answer:
The answer to your question is 1527.1 cm³
Step-by-step explanation:
Data
length = 27 cm
diameter = 15 cm
Formula
V = [tex]\frac{\pi r^{2}h}{3}[/tex]
Process
1.- Find the height and the radius
Radius = diameter / 2
Radius = 15/2 = 7.5 cm
To find the height use the Pythagorean theorem
height² = 27² - 7.5²
height² = 672.75
height = 25.94 cm
2.- Substitute in the formula
Volume = [tex]\frac{\pi 7.5^{2}25.94}{3}[/tex]
Volume = [tex]\frac{4581.65}{3}[/tex]
Volume = 1527.1 cm³
