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Reptile [31]
3 years ago
12

What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of an inch?

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

The desired radius is r = 7.5 inches

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.  A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.

We know that the volume of the hemisphere is 885 in³:

885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.

This is equivalent to:

885 in³ = (2π/3)r³.

We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):

(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³

Then r³ = 422.556 in³

Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:

r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)

The desired radius is r = 7.5 inches

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6 0
4 years ago
1.17 is what percent of 682
ankoles [38]

Answer:

0.17155425219941%

Step-by-step explanation:

100%/x%=682/1.17

(100/x)*x=(682/1.17)*x       - we multiply both sides of the equation by x

100=582.90598290598*x       - we divide both sides of the equation by (582.90598290598) to get x

100/582.90598290598=x

0.17155425219941=x

x=0.17155425219941

6 0
3 years ago
Write a complete sentence that states the type of transformation that was performed and explains the transformation in detail. Q
Cerrena [4.2K]
The type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
                                          = (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point  A did.

4 0
3 years ago
What is the measure of ∠R ?
GarryVolchara [31]
You want to find R. From angle R, you know the side lengths for opposite and hypotenuse. According to SohCahToa, that is sine. Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5
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3 0
3 years ago
Read 2 more answers
Find the equation of the line passing through the points -2x+1 (8,2)
Harrizon [31]

The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

<h3>How to find the equation of the line?</h3>

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that it passes through (-2, 1) and (8, 2), then:

a = \frac{2 - 1}{8 - (-2)} = 1/10

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0
2 years ago
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