What is the diameter of a hemisphere with a volume of 22778 m^3 to the nearest tenth of a meter

Emira asked Nov 28, 2023

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34 votes

Emira asked Nov 28, 2023

by Emira

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15 votes

The volume of a hemisphere is given by:

Solving for r:

$\begin{gathered} 3V=2πr^3 \\ \\ (3V)/(2π)=r^3 \\ \\ r=\sqrt[3]{(3V)/(2\pi)} \end{gathered}$

Replacing V = 22778 m³:

$r=\sqrt[3]{(3*(22778m³))/(2*π)}=22.2m$

then; diameter = 44.4 m

ANSWER

d = 44.4 m

Jande answered Dec 3, 2023

by Jande

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