Question

I need help, i get like 4712, but its not an answer

Answer 1

So you will need to find the height, and we can do so by using the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ . Using this formula, we can make the equation $15^2+h^2=25^2$

Firstly, solve the exponents: $225+h^2=625$

Next, subtract 225 on both sides: $h^2=400$

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 $V=\pi r^2\frac{h}{3}$ . Using this formula, we can form our equation to be $V=\pi 15^2\frac{20}{3}$

Firstly, solve the exponent: $V=\pi*225*\frac{20}{3}$

Next, multiply 225 and 20/3, and your answer will be V = 1500π, or the third option.