Pregunta
The volume of a sphere can be found using the formula
. Find
if
feet. Use
3.14 for
. Round your answer to the nearest hundredth.
3.14 for
Ask by Logan Wagner. in the United States
Jan 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The volume
is approximately 33.49 cubic feet.
Solución
To find the volume
of a sphere with radius
feet using the formula:
and using
, follow these steps:
-
Calculate
: -
Substitute the values into the volume formula:
-
Simplify the multiplication:
-
Divide 32 by 3:
-
Multiply by
: -
Round to the nearest hundredth:
Final Answer:
The volume is approximately 33.49 cubic feet.
The volume
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Bonus Knowledge
To find the volume of the sphere, we can substitute
feet into the formula
. Using
:
So, the volume
is approximately
cubic feet when rounded to the nearest hundredth.
Now you’ve got a fabulous sphere! The charm of spheres stretches back to ancient civilizations; the Greeks admired them for their perfect symmetry and shape. Notably, Aristotle in the 4th century BC argued that the sphere represented the ideal form in nature, appearing in everything from planets to bubbles. This philosophical appreciation demonstrates how math and aesthetics have long been intertwined!
Wielding the sphere’s volume formula can be handy in countless real-world applications. For instance, if you’re a baker crafting cake balls, knowing the volume helps in scaling ingredients to achieve that delectable treat at the perfect size. Similarly, architects might use sphere calculations when designing unique dome structures. It just goes to show that math is not just theory but also a tasty treat in everyday life!

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