If the heights of two circular cylinder are in the ratio 2 : 3 and their volumes?

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

27 : 32

27 : 23

23 : 32

27 : 23

Answer Details

$\frac{h_{1}}{h_{2}}$ = $\frac{2}{3}$
h2 = $\frac{2 h_{1}}{3}$
$\frac{r_{1}}{r_{2}}$ = $\frac{9}{8}$
r2 = $\frac{9 r_{1}}{8}$
v1 = $π$ ( $\frac{9 r_{1}}{8}$ )2( $\frac{2 h_{1}}{3}$ )
= $π$ r1 2h1 x $\frac{27}{32}$
v = $\frac{π r_{1} 2 h_{1} \times \frac{27}{32}}{π r_{1} 2 h_{1}}$ = $\frac{27}{32}$
v2 : v1 = 27 : 32

Read lesson note on Matrices And Determinants (JAMB)

Matrices And Determinants

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