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That the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm?
The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.
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What is the formula for the mass of a sphere?
The mass of a sphere is 4/3*pi*r3*d where r is the radius of the sphere and d is the density of the material of the sphere.
What is the width height and length of mars?
Mars doesn't have any of these dimensions. Its shape is very close to being a sphere, so it has a radius (or diameter), but none of the dimensions listed in the question.
The formula for the volume of a sphere?
2 pi r times the circumference sqaured. then take this and find out its square root. This however, only works if you have the circumference. If you have both the volume and the height, you can find the formula for the radius by solving the following literal equation for "r": V=1/3 r^2(3.14)(H) r=(3V/pi H)square root
How many percent of the sun reach the earth surface?
That's a fairly easy calculation.The Sun is 93,000,000 miles away. The formula for the area of a sphere is 4/3*pi*r^2The cross-sectional area of the Earth is a circle with a radius of about 4,000 miles. The formula for the area of a circle is pi*r^2.Google can be used as a calculator! The answer is(pi * (4000^2)) / ((4 / 3) * pi * (93 000 000^2)) = 1.38744364 × 10-9So, 0.0000001387%.In technical terms, that's "Not much!"Comments: Unfortunately, this answer uses the wrong formula for the surface area of a sphere. I calculate the correct answer to be about 0.00000004.5 %.Also, it doesn't deal with the point about how much energy reachesthe surface of Earth.Surface area of a sphere is: 4 "pi" (radius)2 .
How tall is the earth?
Earth is a SPHERE, retard.^^^^^^^^^^^^^^^^^This person is a retard, you can still measure a spheres height.. by knowing the distance from top to bottom by going through it..12,800km or 7900 miles.Source:What_is_the_distance_between_the_North_Pole_and_the_South_Pole
How do you find the radius of a sphere given the height?
The radius of a sphere is 1/2 of its height.
What is the rectangular solid of maximum volume that can be inscribed in a sphere?
It is a cuboid
How do you find the height of a sphere when you have the volume 1232 and radius 7?
If the radius is 7 and the volume is 1232 the shape cannot be a sphere so you cannot find the height of a sphere when the shape is not a sphere!
A sphere of radius r is inscribed in a cube what is the volume enclosed between the cube and sphere?
volume of the cube - volume of the sphere = volume enclosed between the cube and sphere
How do you calculate this- a right circular cone is inscribed in a hemisphere so that base of cone coincides with base of hemisphere what is the ratio of the height of cone to radius of hemisphere?
The vertex of the cone would reach the very top of the sphere, so the height of the cone would be the same as the radius of the sphere. Therefore the ratio is 1:1, no calculation is necessary.
How do you find the height of a sphere when you have the volume?
Vol = 4/3*pi*r3 so given the volume, you can calculate the radius. Height of sphere = 2*radius.
Calculate volume of a sphere with a radius of 5 and a height of 1?
A sphere with a radius of 5 has a volume of: 523.6 cubic units.
What is the radius of a hemisphere dome with a height of 32?
The radius is 32 because the height of the hemisphere (which is half of a sphere) is the same thing as the radius (which is half the length of the diameter); the radius is the distance from the center to any point on the edge or surface of the circle/sphere.
How do you calculate this a right circular cone is inscribed in a hemisphere so that base of cone coincides with base of hemisphere what is the ratio of the height of cone to radius of hemisphere?
Suppose the radius of the sphere is R. The base of the cone is the same as the base of the hemisphere so the radius of the base of the cone is also R. The apex of the cone is on the surface of the hemisphere above the centre of the base. That is, it is at the "North pole" position. So the height of the cone is also the radius of the sphere = R. So the ratio is 1.
Is the volume formula universal for all the figures?
No, the volume formula is not universal for all figures. Different shapes and objects have different formulas to calculate their volume based on their unique dimensions and properties. Each shape requires its own specific formula to accurately determine its volume.
What is the volume of a sphere with a radius of 12 inches and a height of 23 inches?
A sphere of radius 12 inches cannot have a height of 23 inches. It is, in that case, a flattened sphere and a lot more detailed information about the flattening is required to find its volume.
Volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius a?
volume of a regular right circular cylinder is V=pi(r2)h since the radius is (a) then the height of the circular cylinder would be (2a) so the volume of the largest possible right circular cylinder is... V=2(pi)(r2)(a) with (pi) being 3.14159 with (r) being the radius of the circle on the top and bottom of the cylinder with (a) being the radius of the sphere
