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If the heights of two circular cylinder are in ... - JAMB Mathematics 1990 Question

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

A
27 : 32
B
27 : 23
C
23 : 32
D
27 : 23
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Correct Option: A

(\frac{h_1}{h_2}) = (\frac{2}{3})

h2 = (\frac{2h_1}{3})

(\frac{r_1}{r_2}) = (\frac{9}{8})

r2 = (\frac{9r_1}{8})

v1 = (\pi)((\frac{9r_1}{8}))2((\frac{2h_1}{3}))

= (\pi)r1 2h1 x (\frac{27}{32})

v = (\frac{\pi r_1 2h_1 \times \frac{27}{32}}{\pi r_1 2h_1}) = (\frac{27}{32})

v2 : v1 = 27 : 32

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