Home » If the heights of two circular cylinder are in the ratio 2 : 3 and…

If the heights of two circular cylinder are in the ratio 2 : 3 and…

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
Correct Answer: Option A
Explanation

(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