75 POINTS

Mathematics

1 answer:

Gnoma [55]2 years ago

5 0

Answer:

a) 235.62 cm³ (nearest hundredth)

b) 2. tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume

Step-by-step explanation:

volume of a cylinder = $2\pi r^2h$ (where r is the radius and h is the height)

Given:

r = 5 cm
h = 3 cm

a) ⇒ volume = $\pi \times 5^2 \times 3=75\pi =235.62$ cm³ (nearest hundredth)

b) Given:

r = 10 cm
h = 3 cm

⇒ volume = $\pi \times 10^2 \times 3=300\pi =942.48$ cm³ (nearest hundredth)

Given:

r = 5 cm
h = 9 cm

⇒ volume = $\pi \times 5^2 \times 9=225\pi =706.86$ cm³ (nearest hundredth)

Therefore, 2) tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume

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3 years ago

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Georgia [21]

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. $dy$ with the $y$ term and $dx$ with the $x$ term).

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