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pentagon [3]
2 years ago
13

What is the difference between these fractions? +3/4−(+7/8)

Mathematics
2 answers:
Anika [276]2 years ago
5 0
3/4 is 6/8 6/8-7/8 is 1/8 answer is 1/8
Ket [755]2 years ago
4 0

Answer:

1/8

Step-by-step explanation:

3/4 is 6/8 and 6/8 - 7/8 is 1/8

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You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t
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Answer:

Height = 12cm

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Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

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V = \pi r^2h\\

Substitute 432π for V

432\pi = \pi r^2h

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432 = r^2h

Make h the subject:

h = \frac{432}{r^2}

Surface Area (A) of a cylinder is calculated as thus:

A=2\pi rh+2\pi r^2

Substitute \frac{432}{r^2} for h in A=2\pi rh+2\pi r^2

A=2\pi r(\frac{432}{r^2})+2\pi r^2

A=2\pi (\frac{432}{r})+2\pi r^2

Factorize:

A=2\pi (\frac{432}{r} + r^2)

To minimize, we have to differentiate both sides and set A' = 0

A'=2\pi (-\frac{432}{r^2} + 2r)

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Divide through by 2\pi

0= -\frac{432}{r^2} + 2r

\frac{432}{r^2} = 2r

Cross Multiply

2r * r^2 = 432

2r^3 = 432

Divide through by 2

r^3 = 216

Take cube roots of both sides

r = \sqrt[3]{216}

r = 6

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h = \frac{432}{r^2}

h = \frac{432}{6^2}

h = \frac{432}{36}

h = 12

Hence, the dimension that requires the least amount of material is when

Height = 12cm

Radius = 6cm

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