The volume of a hemispherical bowl is 718 frac ... - JAMB Mathematics 2007 Question
The volume of a hemispherical bowl is 718\(\frac{2}{3}\) cm3. Find its radius.
A
4.0cm
B
7.0cm
C
3.8cm
D
5.6cm[\(\pi\) = \(\frac{22}{7}\)]
correct option: b
Volume of hemisphere = \(\frac{2}{3}\pi r^3\)
\(\frac{2}{3}\pi r^3\) = 718\(\frac{2}{3}\)
\(\frac{2}{3}\) x \(\frac{22}{7} r^3\)
= \(\frac{2156}{3}\)
r3 = \(\frac{2156}{3}\) x \(\frac{3}{2}\) x \(\frac{7}{22}\)
r3 = 49 x 7
r = 3\(\sqrt{343}\)
= 7cm3
\(\frac{2}{3}\pi r^3\) = 718\(\frac{2}{3}\)
\(\frac{2}{3}\) x \(\frac{22}{7} r^3\)
= \(\frac{2156}{3}\)
r3 = \(\frac{2156}{3}\) x \(\frac{3}{2}\) x \(\frac{7}{22}\)
r3 = 49 x 7
r = 3\(\sqrt{343}\)
= 7cm3
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