The volume of a hemispherical bowl is 71823 2 3 cm3. Find its radius.

Assessment: JAMB UTME - Mathematics - 2007 Subject: General Mathematics

Question 1 Report

The volume of a hemispherical bowl is 718 $\frac{2}{3}$ cm3. Find its radius.

4.0cm

7.0cm

3.8cm

5.6cm[

π

=

\frac{22}{7}

]

Answer Details

Volume of hemisphere = $\frac{2}{3} π r^{3}$
$\frac{2}{3} π r^{3}$ = 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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