Question

Easy Question! Chemistry - Please help! I give thanks - It's the picture! - Question 3

Answer 1

The leaning tower of pisa is cylindrical and as such the volume can be approximated using the same formula as a regular cylinder.

Volume of a cylinder (V) =
`\pi r^(2)h`

Assume
`\pi` =
`(22)/(7)`
V = 9891
`m^(3)`
h = 56 m

Let: Radius= r
Diameter= D
Then D= 2r

By substituting the known values into the equation and transposing one can formulate an equation to solve for D.
V =
`\pi r^(2)h`
: . 9891
`m^(3)` =
`(22)/(7) * r^(2) * (56m)`

Making r the subject of this equation:

`r^(2) = (V)/(( \pi ) (h))`

`r = \sqrt{ (V)/( ( \pi ) (h)) }`

Since the Diameter is 2r then multiply both sides of the equation by 2
: .
`2r = 2 (\sqrt{ (V)/(( \pi ) (h)) } )`
thus D =
`</span>2 (\sqrt{ (V)/(( \pi ) (h)) } )`

Part B:

Since the formula for Diameter has be formulated, substitute the values of the variables and solve for D
D =
`2( \sqrt{ (9891 m^(3) )/( ((22)/(7)) (56m) )`
: . D =
`2( \sqrt{56.199 m^(2) })`
= 2 * 7.497m
= 14.993 m

Part C:
Therefore it can be concluded that the Diameter of the base of the Leaning Tower of Pisa is approximately 14.99 meters.