well, let's first notice, all our dimensions or measures must be using the same unit, so could convert the height to liters or the liters to centimeters, well hmm let's convert the volume of 1000 litres to cubic centimeters, keeping in mind that there are 1000 cm³ in 1 litre.
well, 1000 * 1000 = 1,000,000 cm³, so that's 1000 litres.
![\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=1000000~cm^3\\ h=224~cm \end{cases}\implies \stackrel{cm^3}{1000000}=\pi r^2(\stackrel{cm}{224}) \\\\\\ \cfrac{1000000}{224\pi }=r^2\implies \sqrt{\cfrac{1000000}{224\pi }}=r\implies \cfrac{1000}{\sqrt{224\pi }}=r\implies \stackrel{cm}{37.7}\approx r](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20V%3D1000000~cm%5E3%5C%5C%20h%3D224~cm%20%5Cend%7Bcases%7D%5Cimplies%20%5Cstackrel%7Bcm%5E3%7D%7B1000000%7D%3D%5Cpi%20r%5E2%28%5Cstackrel%7Bcm%7D%7B224%7D%29%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B1000000%7D%7B224%5Cpi%20%7D%3Dr%5E2%5Cimplies%20%5Csqrt%7B%5Ccfrac%7B1000000%7D%7B224%5Cpi%20%7D%7D%3Dr%5Cimplies%20%5Ccfrac%7B1000%7D%7B%5Csqrt%7B224%5Cpi%20%7D%7D%3Dr%5Cimplies%20%5Cstackrel%7Bcm%7D%7B37.7%7D%5Capprox%20r)
now, we could have included the "cm³ and cm" units for the volume as well as the height in the calculations, and their simplication will have been just the "cm" anyway.
Answer:
0.28
Step-by-step explanation:
Answer:
(9 + 11) /(5 + 4 + 1)(9 + 11)
20/10(20)
20/200
1/10
It would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.
<h3 /><h3>Simple interest formula</h3>
Using the simple interest formula A = P(1 + rt) where
- P = princial amount = Birr 500,
- A = final amount = 4P (since it is quadrupled),
- r = rate = 12% = 12/100 = 0.12 and
- t = time to quadruple
<h3 /><h3>Finding the time it takes to quadruple </h3>
Since we require t, making t subject of the formula, we have
t = [(A/P) - 1]/r
Substituting the values of the variables into the equation, we have
t = [(A/P) - 1]/r
t = [(4P/P) - 1]/0.12
t = [4 - 1]/0.12
t = 3/0.12
t = 25 years
So, it would take 25 years for Birr 500 to quadruple if invested at a rate of 12% simple interest per annum.
Learn more about simple interest here:
brainly.com/question/25793394
