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Hatshy [7]
3 years ago
8

How to find the missing length indicated

Mathematics
1 answer:
Virty [35]3 years ago
7 0
Of what there is no pic.
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6 * 2/8 =<br> (Write as a fraction or a mixed number)
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The formula for the volume V of a cylinder is LaTeX: V=\pi r^2hV = π r 2 h, where r is the radius of the base anThe formula for
Alekssandra [29.7K]

Answer:

h = \frac{V}{\pi r^2}

h = 4 cm

Step-by-step explanation:

Volume of cylinder is given as V = \pi r^2 h

V is the volume the cylinder, r is its radius at the base, while is its height.

To select the formula for h (height) let's make h the subject of the formula as follows:

V = \pi r^2 h

\frac{V}{\pi r^2} = \frac{\pi r^2 h}{\pi r^2} (dividing both sides of the equation by \pi r^2 )

\frac{V}{\pi r^2} = h

h = \frac{V}{\pi r^2}

Use the formula above to find the height of the given cylinder where Volume (V) = 36π cm³, and base radius (r) = 3 cm:

h = \frac{36 \pi}{\pi 3^2} (substitution)

h = \frac{36 \pi}{\pi * 9}

h = \frac{36 \pi}{9 \pi}

h = \frac{36 \pi}{\pi * 9}

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8 0
3 years ago
solve the x:(pls help with explanation) 1. 2x/3=18 2. 1.6= x/1.5 3. 14y-8=13 4. 17+6p=9 5. x/3+1= 7/15
Darina [25.2K]

Answer:

1. X=27

2. X=2.4

3. y= 1.5

4. p=-1.33

5. X=-1.6

solution,

1. \:  \:  \frac{2x}{3}  = 18 \\  \:  \: or \: 2x = 18 \times 3(cross \: multiplication) \\  \:  \: or \: 2x = 54 \\  \:  \:  \: or \: x =  \frac{54}{2}  \\  \:  \:  \: x = 27

2. \:  \: 1.6 =  \frac{x}{1.5}  \\  \:  \: or \: x = 1.6  \times 1.5( \: cross \: multiplication) \\  \:  \:  \:  \: x = 2.4

3. \:  \: 14y - 8 = 13 \\  \:  \:  \: or \: 14y = 13 + 8 \\  \:  \: or \: 14 \: y = 21 \\  \:  \: or \: 14 \times y = 21 \\  \:  \:  \: or \: y =  \frac{21}{14}  \\  \: divide \: 21 \: and \: 14 \: by \: 7 \: you \: will \: get \\  \:or \:  y =  \frac{3}{2}  \\ y = 1.5

4. \:  \: 17 + 6p = 9 \\  \:  \: or \: 6p = 9 - 17 \\  \:  \: or \: 6p =  - 8 \\  \:  \: or \: p =  \frac{ - 8}{6}  \\  \:  \: or \: p =  \frac{ - 4}{3}  \\  \:  \: p =  - 1.33 \\

5. \:  \:  \frac{x}{3}  + 1 =  \frac{7}{15}  \\  \: or \:  \frac{x + 1 \times 3}{3}  =  \frac{7}{15}  \\  \:  \: or \:  \frac{x + 3}{3}  =  \frac{7}{15}  \\  \: or \: 15(x + 3) = 7 \times 3( \: cross \: multiplication) \\  \:  \: or \: 15x + 45 = 21 \\  \:  \: or \: 15x = 21 - 45 \\  \:  \: or \: 15x =  - 24 \\  \:  \: or \: x =  \frac{ - 24}{15}  \\  \: divide \:  - 24 \: and \: 15 \: by \: 3 \\  \: or \: x =  \frac{ - 8}{5}  \\ x =  - 1.6

Hope this helps ...

Good luck on your assignment..

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