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113.097336 units cubed.

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8y ago

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How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?

I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.


If the sphere shown has a diameter of 30 units what is the volume of half of the sphere?

Volume of half sphere: (4/3*pi*15^3)/2 = 2250*pi cubic units


What is the volume of the cylinder shown below with a heigh 7 and a radius of 12?

Volume of cylinder: pi*12 squared *7 = 3166.725 cubic units rounded to 3 decimal places


In the ellipse shown below the red line segment is called the?

radius


If a cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown what is the volume of the air space surr?

It is 1056 cm3.


Which of the following would not be a possible planar slice from the octahedron shown below?

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What is the relationship of atomic radii for each pair of species shown below?

The relationship of atomic radii for each pair of species shown below is that the atomic radius increases as you move down a group on the periodic table and decreases as you move across a period from left to right.


If r 8 units and x 5 units then what is the volume of the cylinder shown above?

To calculate the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height. In this case, the radius (r) is given as 8 units. However, the height (x) is given as 5 units, not h. Without knowing the height of the cylinder, we cannot calculate the volume accurately.


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As far as measurements have shown an electrons is almost a perfect sphere.


In the two circles shown below the radius of the larger circle is three times the radius of the smaller circle If the area of the larger circle is 60.84 timmespi what is the area of the smaller circle?

if the radius is a third then the area is a ninth 60.84 x 1/32 = 6.76 timmespi (if that's 'times pi' then) 6.76/pi = 2.15


Of the six elements shown here BLANK has the smallest atomic radius and BLANK has the largest atomic radius?

Fluorine has the smallest atomic radius, while Francium has the largest atomic radius.