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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?

User Drdrej
by
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1 Answer

3 votes

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

User Kairowa
by
7.6k points