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A basketball has a volume of 5600cm³. find its radius​

1 Answer

5 votes

Answer:

Given:-

Volume of a basketball=
\sf 5600cm^3

To find:-

Radius

Solution:-

  • We know basketball is a sphere
  • We know that in a sphere


{\boxed {\sf Volume=\frac {4}{3}\pi r^3 }}

  • Substitute the values


\qquad{:}\longrightarrow
\sf \frac {4}{3}* \frac {22}{7}* r^3=5600

  • Simplify


\qquad{:}\longrightarrow
\sf \frac {88}{21}r^3=5600


\qquad{:}\longrightarrow
\sf r^3=5600* \frac {21}{88}


\qquad{:}\longrightarrow
\sf r^3=\frac {5600×21}{88}


\qquad{:}\longrightarrow
\sf r^3=(117600)/(88)


\qquad{:}\longrightarrow
\sf r^3=1336.36


\qquad{:}\longrightarrow
\sf r=\sqrt [3]{1336.33}


\qquad{:}\longrightarrow
\sf r=11.01


\qquad{:}\longrightarrow
\sf r=11cm (Approx)


\therefore\sf radius \:of \;basketball\:is\:11cm.

User Leif Arne Storset
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