Question

find the volume of the cylinder. either enter an exact answer in terms of π or use 3.14 for π. 4 6 units³

Explanation:

Step1: Identify radius and height

Radius \( r = 6 \), height \( h = 4 \)

Step2: Calculate base area

Base area \( = \pi r^2 = 3.14 \times 6^2 = 3.14 \times 36 = 113.04 \)

Step3: Compute volume

Volume \( = \text{base area} \times h = 113.04 \times 4 = 452.16 \)? Wait, no—wait, 6 is the radius? Wait, no, wait: 6 is the radius? Wait, no, let's check again: the cylinder has radius 6 and height 4. So volume formula is \( V = \pi r^2 h \). So exact value is \( \pi \times 6^2 \times 4 = 144\pi \). If using 3.14, it's \( 3.14 \times 36 \times 4 = 3.14 \times 144 = 452.16 \). Oh, I made a mistake earlier. Correct steps:

Step1: Note radius and height

\( r = 6 \), \( h = 4 \)

Step2: Apply volume formula

\( V = \pi r^2 h = \pi \times 6^2 \times 4 = 144\pi \)

Step3: Calculate numerical value

\( 144 \times 3.14 = 452.16 \)

Step1: Identify parameters

Radius \( r=6 \), height \( h=4 \)

Step2: Exact volume calculation

\( V = \pi r^2 h = \pi \times 6^2 \times 4 = 144\pi \)

Step3: Numerical volume calculation

\( V = 3.14 \times 6^2 \times 4 = 3.14 \times 144 = 452.16 \)

Answer:

113.04 units³ (or 36π units³)