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Vlad1618 [11]
3 years ago
9

Find the volume of a cylinder with diameter 8 inches and height 9 1/2 inches

Mathematics
2 answers:
postnew [5]3 years ago
7 0

Answer:

V=477.5in^3

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula;

V=\pi r^2h

where the radius is half of the diameter of the circle.

r=\frac{8}{2} =4in.

The height of the cylinder is

h=9\frac{1}{2}=\frac{19}{2}in.

We substitute the values into the formula to obtain;

V=\pi\times 4^2\times \frac{19}{2}

V=477.5in^3

correct to the nearest tenth

marta [7]3 years ago
4 0

Answer:

V=152\pi in^{2} in terms or pi

V=477.52in^{2} simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

V=\pi r^{2} h

where

V is the volume of the cylinder

r is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: r=\frac{d}{2} =\frac{8in}{2} =4in. Now, 9 1/2 inches is 9 and a half inches, so h=9.5in.

Replacing values:

V=\pi (4in)^{2} (9.5in)

V=\pi (16in^{2})(9.5in)

V=152\pi in^{2}

V=477.52in^{2}

We can conclude that the volume of our cylinder is V=152\pi in^{2} in terms of pi, or V=477.52in^{2} simplified.

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(20 pts)
irakobra [83]

A function can be represented by equations and tables

  • 4 users are logged in by 9am
  • The domain is [3,23] and the range of the function is [3,4]

<h3>The number of users at 9am</h3>

The function is given as:

g(x) = \frac14 \sqrt{x - 3} + 3

At 9am, x = 9.

So, we have:

g(x) = \frac14 \sqrt{9 - 3} + 3

g(x) = \frac14 \sqrt{6} + 3

Simplify

g(9) = 3.6

Approximate

g(9) = 4

Hence, 4 users are logged in by 9am

<h3>The domain</h3>

Set the radical to 0

x - 3 = 0

Solve for x

x = 3

The maximum time after midnight is 23 hours.

So, the domain is [3,23]

<h3>The range</h3>

When x = 3, we have:

g(x) = \frac14 \sqrt{x - 3} + 3

g(3) = \frac 14 * \sqrt{3 - 3} + 3 = 3

When x = 23, we have:

g(23) = \frac 14 * \sqrt{23 - 3} + 3 = 4

So, the range of the function is [3,4]

Read more about domain and range at:

brainly.com/question/2264373

3 0
3 years ago
A customer needs to seed an area 75 feet by 50 feet in size. Each bag of seed can cover 25 square feet of land. How many bags of
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Answer:

150 bags

Step-by-step explanation:

Given the total area:

The area will be:

=75*50

= 3750 square feet

As it is given that one bag covers 25 square feet. To find the total number of bags we have to find how many 25s will be in 3750 square feet.

So,

Total number of bags = 3750 / 25

= 150 bags

Hence, total number of bags that will be used are 150 ..

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3 years ago
Use slope-intercept form to write the equation of a line that has a slope of -3 and passes through the point (1.-5). Use the dro
Luden [163]

Answer:

m=-3

x1,y1=1,-5

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y-y1=m(x-x1)

y-(-5)=-3(x-1)

y+5=-3x+3

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5 0
3 years ago
Read 2 more answers
Factor completely 16a^3-50a^2+36a
Novosadov [1.4K]

Answer: (2a+4)(8a-9)

Step-by-step explanation:

16a^3-50a^2+36a                        16(36)=576

                                                                18,32( add to 50, multiply to 576)

16a^3+18a+32a+36

2a(8a-9)4(16-9)

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3 years ago
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Slope is -2 and the point is 3,5
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