The volume of the right cylinder is [tex]\boxed{96\pi {\text{ unit}}{{\text{s}}^3}}.[/tex]
Further explanation:
The formula for the volume of the cylinder can be expressed as,
[tex]\boxed{{\text{Volume}} = \pi {r^2}h}[/tex]
Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.
Given:
The radius of the cylinder is [tex]{\text{4 units}}[/tex] and the height of the cylinder is [tex]{\text{6 units}}.[/tex]
The options of the volume are given as follows.
A. [tex]{\text{112}}\pi {\text{ uni}}{{\text{t}}^3}[/tex]
B. [tex]96\pi {\text{ uni}}{{\text{t}}^3}[/tex]
C. [tex]168\pi {\text{ uni}}{{\text{t}}^3}[/tex]
D. [tex]84\pi {\text{ uni}}{{\text{t}}^3}[/tex]
Explanation:
The volume of the right cylinder can be obtained as follows,
[tex]\begin{aligned}{\text{Volume}} &= \pi {r^2}h\\&= \pi\times {\left( 4 \right)^2} \times 6\\&= \pi \times 16 \times 6\\&= 96\pi\\\end{aligned}[/tex]
The volume of the cylinder is [tex]96\pi {\text{ unit}}{{\text{s}}^3}.[/tex]
Option A is not correct as the volume of the cylinder is [tex]96\pi {\text{ unit}}{{\text{s}}^3}.[/tex]
Option B is correctas the volume of the cylinder is [tex]96\pi {\text{ unit}}{{\text{s}}^3}.[/tex]
Option C is not correct as the volume of the cylinder is [tex]96\pi {\text{ unit}}{{\text{s}}^3}.[/tex]
Option D is not correctas the volume of the cylinder is [tex]96\pi {\text{ unit}}{{\text{s}}^3}.[/tex]
Hence, the volume of the right cylinder is [tex]\boxed{96\pi {\text{ unit}}{{\text{s}}^3}}.[/tex]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Mensuration
Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, 187, height, and radius depth.
