Fifteen disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?

Question

asked Sep 21, 2022 210k views

1 Answer

Kairowa · Answer 1 · 2022-09-27T02:19:08+0000

Missing information:

r = 3cm

h = 1cm

Options:

(a)
$\pi * 3^2 * 15$ (b)
$\pi * 3* 15^2$

(c) 15 times the volume of the disk

(d) The height of the stack multiplied by
$\pi r^2$

Answer:

(b)
$\pi * 3* 15^2$

Explanation:

Given

15 identical disks

r = 3cm

h = 1cm

Required

Determine the odd option

The volume of 1 disk is:

$V_1 = \pi r^2h$

$V_1 = \pi * 3^2 * 1$

The volume of 15 is:

V_(15) = 15 * V_1

$V_(15) = 15 * \pi * 3^2 * 1$

$V_(15) = \pi * 3^2 * 15$

The above equation represents (a), (c) and (d)

Because:

(a):
$V_(15) = \pi * 3^2 * 15$

(c) 15 * volume of the disk:
V_(15) = 15 * V_1 =
$V_(15) = \pi * 3^2 * 15$

(d) height *
$\pi r^2$ = h *
$\pi r^2$ =
$15 * \pi * 3^2 * 1$ =
$V_(15) = \pi * 3^2 * 15$

Hence, (b) is the odd option