Question

francisco is making an effort to drink more water, and has set a goal of 2 liters per day. he wants to know the volume of the water bottle he takes to school each day. the water bottle has the dimensions shown in the diagram. (diagram of a cylinder with height 20 cm and radius 4 cm) what is the volume of franciscos water bottle? either enter an exact answer in terms of π or use 3.14 for π. cm³

Explanation:

Step1: Identify cylinder parameters

Radius $r = 4$ cm, height $h = 20$ cm

Step2: Calculate base area

Base area $= \pi r^2 = \pi (4)^2 = 16\pi$ cm²

Step3: Compute volume

Volume $= \text{base area} \times h = 16\pi \times 20 = 320\pi$ cm³

Step4: Approximate with π=3.14

$320 \times 3.14 = 1004.8$ cm³

Answer:

320π cm³ or 1004.8 cm³