You can compare properties of two functions each represented in a different way by saying them out loud (verbally), seeing them as they are by numbers (numerically), and even how they are seen (visually).

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5 0

3 years ago

The sum of the radius of the base and the height of a solid cylinder is 37m. If the total surface area of the cylinder is 1628 m

MA_775_DIABLO [31]

Answer:

4618.14 $m^{3}$ or 4618 $m^{3}$

Step-by-step explanation:

From T.S.A = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

where T.S.A = 1628 $m^{2}$

1628 = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

1628 = ( rh + $r^{2}$ ) 2 $\pi$

by dividing both side by 2 $\pi$

$\frac{1628}{2\pi }$ = rh + $r^{2}$

259.10 = rh + $r^{2}$

rh = 259.10 - $r^{2}$

h = $\frac{259.10 - r^{2} }{r}$ <u> </u>(1)

From Radius + Height = 37

r + h = 37 <u> </u>(2)

by substituting eqn 1 into 2

r + $\frac{259.10 - r^{2} }{r}$ = 37

by multiplying r to both side

$r^{2}$ + 259.10 - $r^{2}$ = 37r

259.10 = 37r

r = $\frac{259.10}{37}$

r = 7.00 ≅ 7

From Eqn 2

r + h = 37

7 + h = 37

h = 37 - 7

h = 30

so Volume of a cylinder = $\pi r^{2} h$

V = $\pi$ * $7^{2}$ * 30

V = 4618.14 $m^{3}$ ≅ 4618 $m^{3}$

4 0

3 years ago

Read 2 more answers

What is -2/3 - ( -1 1/3)?

Whitepunk [10]

The the sum of this problem is -2. I hope I helped you! :D

6 0

3 years ago

Read 2 more answers