Pregunta
Volume of Cylinders Quick Check
A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Us
1,256 cubic centimeters
4,019.2 cubic centimeters
cubic centimeters
5,024 cubic centimeters
A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Us
1,256 cubic centimeters
4,019.2 cubic centimeters
5,024 cubic centimeters
Ask by Haynes Cummings. in the United States
Mar 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The volume of the peanut butter jar is approximately 1,256 cubic centimeters.
Solución
Let the jar be modeled as a cylinder.
-
The formula for the volume of a cylinder is
-
The jar has a height
centimeters. The width is the diameter of the base, which is 10 centimeters. Thus, the radius is -
Substitute the values into the volume formula:
-
Calculate the square of the radius:
-
Multiply the values:
-
Approximating
:
Thus, the volume of the peanut butter jar is approximately
cubic centimeters.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To find the volume of the peanut butter jar, which is in the shape of a cylinder, you can use the formula:
. Here, the radius
is half the width, so
cm, and the height
cm. Plugging in the values:
cubic centimeters. So, the volume of the jar is 1,256 cubic centimeters!
Cylindrical shapes are everywhere in our daily lives, from jars to cans to pipes! Understanding how to calculate the volume of these shapes helps us in various real-world applications like determining how much liquid a container can hold or how much space a cylindrical object occupies in manufacturing and shipping. It’s practical knowledge that comes in handy more often than you might think!

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