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3 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

stellarik [79]3 years ago

5 0

Answer and Step-by-step explanation:

The correct answer choice would be to grind the solvent into smaller pieces.

When the solid is in smaller pieces, it would take less time for the dissolver to dissolve the smaller bits, since the pieces are smaller and take up less volume for the dissolver to go through.

With a bigger solid, the dissolver would just chip away at the solid before eventually dissolving the solid, although this could take some time.

#teamtrees #PAW (Plant And Water)

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V125BC [204]

Answer:

y = -4/5x + 3

Step-by-step explanation:

Chose any two points on the line:

(5, -2)

(-5, 6)

Slope = (y2 - y1) / (x2 - x1)

6 -(-2) / -5 - 5

8 / -10

-4/5

Equation:

y = mx + b

Plug in x and y using any coords and then plug in m (the slope):

-2 = -4/5 * 5 + b

-2 = -20/4 + b

-2 = -5 + b

Add 5 on both sides:

3 = b

Now our equation is:

y = -4/5x + 3

Please let me know if I've done something wrong!

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3 years ago

Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume

aalyn [17]

Answer : The correct option is, (A) $54\pi cm^3$

Step-by-step explanation :

First we have to calculate the volume of cylinder.

Formula used:

Volume of cylinder = $\pi r^2h$

where,

r = radius = 3 cm

h = height = 18 cm (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)

Volume of cylinder = $\pi (3cm)^2\times (18cm)$

Volume of cylinder = $162\pi cm^3$

Now we have to calculate the volume of 3 solid spheres.

Formula used:

Volume of 3 spheres = $3\times \frac{4}{3}\pi r^3$

Volume of 3 spheres = $4\pi r^3$

Volume of 3 spheres = $4\pi (3)^3$

Volume of 3 spheres = $108\pi cm^3$

Now we have to calculate the amount of empty space within a cylinder.

Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres

Amount of empty space within a cylinder = $162\pi cm^3-108\pi cm^3$

Amount of empty space within a cylinder = $54\pi cm^3$

Therefore, the amount of empty space within a cylinder is, $54\pi cm^3$

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