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2 years ago

What is the radius of a circle with an area of 28.26 square feet

Mathematics

1 answer:

Svetlanka [38]2 years ago

6 0

Answer:

The radius is 3 square feet.

(Working is shown in the picture)

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What is x? I have been having trouble with these

Wittaler [7]

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (whole secant) x (external part)

(6+x) * 6 =(5+x+3) *5

(6+x) * 6 =(x+8) *5

Distribute

36+6x = 5x+40

Subtract 5x from each side

36+6x-5x = 5x-5x+40

36+x = 40

Subtract 36 from each side

36+x-36 = 40-36

x = 4

3 0

2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

Please help<br><br>p/5 = 3.1; p=

aalyn [17]

P=15.5 would be the answer

3 0

2 years ago

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I need answers fast plsss

Nonamiya [84]

Answer:

1/6

Step-by-step explanation:

the form you're using is slope-intercept. That is

y=mx+b

where y= y coordinate

m=slope

x= x coordinate

and b= y intercept

so, m in that equation is 1/6, so the slope is 1/6

Hope this helps!

6 0

2 years ago

How is mathematics done?

Ad libitum [116K]

Answer:

Mathematics can be completed through the use of logical thinking and the use of equations to figure out various problems.

8 0

2 years ago

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