Question

ramiro opened a bucket of paint that has a height of 18 inches and a radius of 10 inches. the bucket was filled one inch below the top of the bucket. which expression can be used to find the amount of paint in the bucket? \\( 10\pi \cdot 17 \\) \\( \pi \cdot 10^2 \cdot 17 \\) \\( (100\pi \cdot 18) - 1 \\) \\( \dfrac{100\pi \cdot 18}{2} \\)

Explanation:

Step1: Identify paint height

The bucket height is 18 in, paint is 1 in below top, so paint height $h = 18 - 1 = 17$ in.

Step2: Recall cylinder volume formula

Volume of a cylinder is $V = \pi r^2 h$, where $r$ is radius.

Step3: Substitute values

Substitute $r=10$ in, $h=17$ in: $V = \pi \cdot 10^2 \cdot 17$.

Answer:

$\pi \cdot 10^{2} \cdot 17$