a grain silo has a cylindrical shape. its radius is 2.5 ft, and its height is 25 ft.\nanswer the parts…

a grain silo has a cylindrical shape. its radius is 2.5 ft, and its height is 25 ft.\nanswer the parts below. make sure that you use the correct units in your answers.\nprogress: 0/2\npart 1 of 2\n(a) find the exact volume of the silo. write your answer in terms of $pi$.\nexact volume: $square$

a grain silo has a cylindrical shape. its radius is 2.5 ft, and its height is 25 ft.\nanswer the parts below. make sure that you use the correct units in your answers.\nprogress: 0/2\npart 1 of 2\n(a) find the exact volume of the silo. write your answer in terms of $pi$.\nexact volume: $square$

Answer

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius and $h$ is height.

Step2: Substitute given values

Substitute $r=2.5$ ft, $h=25$ ft: $V = \pi \times (2.5)^2 \times 25$

Step3: Calculate the constant term

First compute $(2.5)^2 = 6.25$, then $6.25 \times 25 = 156.25$ So $V = 156.25\pi$

Answer:

$156.25\pi$ cubic feet