Mathematics: There is a basketball with a diameter of 9 in. and a softball with a diameter of 4 in.. find how many times greater the volume of the basketball is as that of the softball.

There is a basketball with a diameter of 9 in.

Ответ:

kekebaby156

13.03.2022

If the respective diameters are 9 and 4, then their respective radius is half that, or 4.5 and 2.

$\bf \begin{array}{llll}
\textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}
\end{array}\qquad 
\begin{array}{llll}
\stackrel{basketball}{\cfrac{4\pi (4.5^3)}{3}}\implies \cfrac{243\pi }{2}
\\\\\\
\stackrel{softball}{\cfrac{4\pi (2^3)}{3}}\implies \cfrac{32\pi }{3}
\end{array}\\\\
-------------------------------\\\\
\cfrac{\quad \frac{243\pi }{2}\quad }{\frac{32\pi }{3}}\implies \cfrac{243\pi }{2}\cdot \cfrac{3}{32\pi }\implies \cfrac{729}{64}\implies 11.390625$

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Ответ:

pramirez5169

15.12.2021

Mathematics

"The quotient of the sum of 2 and number b, and 3" can be displayed as:

(2 + b)/3

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There is a basketball with a diameter of 9 in. and a softball with a diameter of 4 in.. find how many times greater the volume of the basketball is as that of the softball.

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