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Vinvika [58]
3 years ago
9

If the surface area of a cylinder is 288π cm2 with radius of 8 cm, what is the volume of the cylinder?​

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

The volume of the cylinder is 640π cm³

Step-by-step explanation:

The formula of the surface area of a cylinder is SA = 2πrh + 2πr², where r is the radius of its base and h is its height

The formula of the volume of a cylinder is V = πr²h

Let us use the formula of the surface area to find the height of the cylinder, then use the formula of the volume to find its volume

∵ The surface area of a cylinder is 288π cm²

∵ Its radius is 8 cm

∵ SA = 2πrh + 2πr²

- Substitute the SA by 288π and r by 8 in the formula

∴ 288π = 2π(8)h + 2π(8)²

∴ 288π = 16πh + 128π

- Subtract 128π from both sides

∴ 160π = 16πh

- Divide both sides by 16π

∴ 10 = h

∴ The height of the cylinder is 10 cm

Now let us find the volume of the cylinder

∵ V = πr²h

- Substitute r by 8 and h by 10

∴ V = π(8)²(10)

∴ V = π(64)(10)

∴ V = 640π

The volume of the cylinder is 640π cm³

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kevin has a rectangular-shaped garden its 15 feet by 12 feet wide he plants 36 square feet of tomatoes what percent of the garde
dusya [7]

Answer:

<u>20%</u> of the garden are tomatoes planted.

Step-by-step explanation:

Given:

Kevin has a rectangular-shaped garden its 15 feet by 12 feet wide.

He plants 36 square feet of tomatoes.

Now, to find the percent of the garden where tomatoes planted.

We need to get the total area of the garden first:

Total area of the garden =  15 feet by 12 feet.

                                         =  15 feet\times 12 feet.

                                         =  180\ square\ feet.

So, getting the area of the garden 180 square feet.

Now, we calculate the percent of the area of garden where tomatoes are planted:

\frac{Area\ of\ tomatoes\ planted}{Total\ area\ of\ garden} \times 100.

=\frac{36\ square\ feet}{180\ square\ feet} \times 100

=\frac{36}{180} \times 100

=\frac{3600}{180}

=20\%.

Therefore, 20% of the garden where are tomatoes planted.

3 0
3 years ago
Trey reads 10 pages in 25 minutes. At the rate, how many pages will he read in 45 minutes?
neonofarm [45]
Answer: 18 pages

======================================

Explanation:

Trey reads 10 pages in 25 minutes, which means we have the ratio 
10 pages: 25 minutes

Divide each part of the ratio by 25
10 pages: 25 minutes
10/25 pages: 25/25 minutes
0.4 pages: 1 minute

So Trey's unit rate is 0.4 pages per minute. In one minute, Trey reads 0.4 of a page

Now multiply both sides of the last ratio by 45
0.4 pages: 1 minute
45*0.4 pages: 45*1 minute
18 pages: 45 minutes

Which is why the answer is 18 pages
It takes Trey 45 minutes to read 18 pages
Or in other words, Trey reads 18 pages in 45 minutes.
3 0
3 years ago
Help with this task it's confusing can u explain how you got the answer
Andru [333]
Oh my goodness !  You were doing such an absolutely beautiful job,
as far as you went, but then you ran into some rough road and quit.

You've got the correct expressions for the ages of the three people:

-- Will . . . w
-- Ben . . . w+3
-- Jan . . . 2(w+3)
You slipped up when you expanded Jan's age:  2(w+3) = <u>2w + 6</u> ,
and it was all down hill from there.

Let's do it again, together:

-- Will . . . w
-- Ben . . . w + 3
-- Jan . . . 2w + 6

Total:  (w + w + 2w) + (3 + 6) = 4w + 9

So the equation is:    <em><u>4w + 9 = 41</u></em>
Now you're supposed to solve it.

Subtract 9 from each side:   4w  =  32

Divide each side by 4:        <u>w = 8</u>

-- Will = w . . . . . 8 y.o.
-- Ben = w+3 . . . 11 y.o.
-- Jan = 2(w+3) . . 22 y.o.

When will Jan be twice as old as Will ?
That'll happen in 'x' years.
At that time, Will will be (8+x) and Jan will be (22+x),
and her age will be double Will's age.

22 + x  =  2(8 + x)

22 + x  =  16 + 2x

Subtract 'x' from each side:    22  =  16 + x

Subtract  16  from each side:  <em>  6 = x</em>

<u>Check:</u>

In 6 years, Jan will be (22+6) = 28,
and Will will be (8+6) = 14 .

28 = twice as old as 14.      yay!

Can I make a little suggestion ?
I'm going to make it anyway:

Your problem was neatness.
You were doing great work in that big open space on the sheet, but it
started to get ragged.  When you tried to look back to see if you made
a mistake, you couldn't find it in the mess.
This is not an easy problem, but you definitely know your stuff. 
I think if you keep it a little neater, you're going to sparkle !
7 0
3 years ago
Which equations show inverse operations of each other? Choose exactly two answers that are correct. 16×1/4  =4     1/4 ÷4 =116  
qaws [65]

Answer:

6 × 1/4 = 4

4 × 1/4 = 1

4 ÷ 1/4 = 16

All three of these are correct

Step-by-step explanation:

16 × 1/4 = 4

16/4 = 4

4 = 4


1/4 ÷ 4 = 116

1/4 × 1/4 = 116

1/16 ≠ 116


4 x 1/4 = 1

4/4 = 1

1 = 1


4 ÷ 1/4 = 16

4 × 4 = 16

16 = 16

8 0
3 years ago
Which is the equation of the line with slope 0 passing through the point (-3,-1)?
madreJ [45]

When a line has a slope of zero it means that it is horizontal. This means that all the x values have the same y values. In this case it means that the y value is always -1.

The equation for this line is...

y = -1

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
3 years ago
Read 2 more answers
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