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3 years ago

A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder

1 answer:

8 0

343 pi in^3 ; exact volume 1078 in^3 ; Approximate volume Since it's not specified, I will assume the axis of rotation will be one edge of the square. With that in mind, here's the solution. Since the shape specified is a square with an area of 49 in^2, the length of any edge will be sqrt(49) = 7 inches. Since we're rotating along one edge, we will create a cylinder with a radius of 7 inches and a height of 7 inches. The volume will be the area of a circle with a 7 inch radius multiplied by the height of the cylinder. So V = pi*h*r^2 V = pi*7*7^2 V = pi*7*49 V = pi*343 V = 343pi V = 1077.56628; approximately. So the exact volume is 343pi in^3 and an approximate volume is 1078 in^3

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What is the solution to this equation? 8x - 5 (x-3) = 18

Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

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3 years ago

Write an equation that can be used to answer each question

Ira Lisetskai [31]

1. (70 - 44) / 2

2. (45.00 - 25.50) / 6

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3 years ago

What is x, the length of the diagonal, to the nearest whole number

lions [1.4K]

brainly being slow today so i did my work on this attachment

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│Hope this helped _____________________│

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3 years ago

Read 2 more answers

Which line has the same slope as the line passing through (- 4, -1) and (-1, 8)

Troyanec [42]

The slope is [ 8 - (-1) ] / [ -1 - (-4) ] = 9 / 3 = 3;

The line has the equation: y - 8 = 3( x + 1);

y - 8 = 3x + 3;

y = 3x + 11.

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3 years ago

What are the missing coordinates? My teacher said it was (h-m,n), but I’m saying it is (h+m,n). Could anyone help?

antiseptic1488 [7]

Answer:

You are right, the coordinates are:

$(h+m,n)$

Explanation:

Here is how you can proove that you are right.

Note that m is the x-coordinate of the point $(m,n)$ . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in $m$ .

The distance from $(m,n)$ to the y-axis is not $m$ but $-m$ .

That is the same distance from the point with the missing coordinates to the point (h,0).

Then, the missing x-coordinate is $h-(-m)=h+m.$

Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).

Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).

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3 years ago