So you will need to find the height, and we can do so by using the pythagorean theorem, which is [tex] leg^2+leg^2=hypotenuse^2 [/tex] . Using this formula, we can make the equation [tex] 15^2+h^2=25^2 [/tex]
Firstly, solve the exponents: [tex] 225+h^2=625 [/tex]
Next, subtract 225 on both sides: [tex] h^2=400 [/tex]
Lastly, square root both sides, and your answer is h = 20.
Now that we got the height, we can solve for the volume, which is [tex] V=\pi r^2\frac{h}{3} [/tex] . Using this formula, we can form our equation to be [tex] V=\pi 15^2\frac{20}{3} [/tex]
Firstly, solve the exponent: [tex] V=\pi*225*\frac{20}{3} [/tex]
Next, multiply 225 and 20/3, and your answer will be V = 1500π, or the third option.
