Question

thomas loves tomatoes. he plans to fill the container shown below with soil to grow his own tomato plants. the dimensions of the container are shown in inches.
how much soil will the container hold?
either enter an exact answer in terms of \\(\pi\\) or use 3.14 for \\(\pi\\).

Explanation:

Step1: Identify cylinder dimensions

Radius $r = 10$ in, height $h = 20$ in

Step2: Apply cylinder volume formula

Volume $V = \pi r^2 h = \pi (10)^2 (20)$

Step3: Calculate exact value

$V = \pi \times 100 \times 20 = 2000\pi$

Step4: Calculate approximate value

$V = 2000 \times 3.14 = 6280$

Answer:

2000π cubic inches or 6280 cubic inches