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Why are cells spherical instead of cubical if a cube has a larger surface area to volume ratio than a sphere does?
The cells of the body have different sizes, shapes and surface area to volume ratios depending on their function, that is, their structure/function relationships. For example, lung alveolar cells are flat or squamous cells that optimize surface area to volume ratio for gas exchange between blood and the atmosphere; neurons have long tubular axons that increase surface area/volume ratio; cuboidal skin cells of the basal layer are cube shaped and optimally shaped for blood gas and nutrient exchange as well as for their function of adherence and skin replicative function; kidney proximal convoluted tubule cells are cuboid, but extend their membrane surface area for maximal reuptake of blood nutrients by the extension of microvilli on the luminal side of the proximal convoluted tuble. Red blood cells are biconcave discs that, thereby, increase surface area for gas exchange. White blood cells are pretty spherical indicating a requirement for maximizing volume, at the expense of surface area, for antibody production or bacterial destruction etc. . Skeletal muscle cells are long and spindle shaped and often fuse together with other muscle cells in development in order to span the distance across a joint, for example. But you are correct in stating that a cube would have greater surface area to volume ratio than a sphere as a function of length of side or radius (in the case of a sphere).
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Why is the sum of the angles of spherical triangles always larger than the sum of the angles of plane triangles?
Because, to allow for the curvature of the spherical surface, each angle must be slightly larger than its plane-surface equivalent.
What is the importance of spherical trigonometry in math?
Historically, it is because we live on a planet which is approximately spherical. 2-dimensional trigonometry was adequate for relatively small shapes where the curvature of the earth had negligible effect. For larger shapes the spherical nature of the earth was important and therefore, so was spherical trigonometry.
Why do smaller cells have a greater surface area to volume ratio?
If the cells are spherical, the surface area increases as the square of the radius while the volume increases as the cube of the radius. Therefore, as the cells become larger, their volumes increase much more rapidly than their surface areas. Conversely, as the cells become smaller, their volumes decrease much more rapidly that their areas and so the surface area to volume increase. With non-spherical cells the calculations are much more complex, but the general pattern still applies.
In spherical geometry the measures of the angles in a triangle add up to 180 degrees?
The sum of angles in a triangle in a spherical geometry is greater than 180° the sum is greater the larger the surface area of the triangle.Example:Think of a triangle on the Earth with one corner at the North Pole, the other corners on the Equator 90° apart (say at 0° [west of Nigeria in Africa] the other at 90° W [West of Ecuador in South America]).Each of these angles is 90° so the sum is 270° - The surface area of the triangle is one eighth of the surface of the globe. But it is a triangle (on a sphere).
What surface area is larger baseball or soccer?
A soccer ball has a larger radius than a baseball, so it has more surface area.
Why is the sum of the angles of spherical triangles always larger than the sum of the angles of plane triangles?
Because, to allow for the curvature of the spherical surface, each angle must be slightly larger than its plane-surface equivalent.
How mechanically a spherical condenser can be formed?
An electric charge cannot be carried in the interior of a hollow container. Due to mutual repulsion, the charges will migrate to the larger external surface.
What is the shape of dense body is the size of planets or larger?
Approximately "spherical".
What makes a fish appear larger when placed in a spherical fish bowl?
It's the glass that does that
What is the importance of spherical trigonometry in math?
Historically, it is because we live on a planet which is approximately spherical. 2-dimensional trigonometry was adequate for relatively small shapes where the curvature of the earth had negligible effect. For larger shapes the spherical nature of the earth was important and therefore, so was spherical trigonometry.
Why do smaller cells have a greater surface area to volume ratio?
If the cells are spherical, the surface area increases as the square of the radius while the volume increases as the cube of the radius. Therefore, as the cells become larger, their volumes increase much more rapidly than their surface areas. Conversely, as the cells become smaller, their volumes decrease much more rapidly that their areas and so the surface area to volume increase. With non-spherical cells the calculations are much more complex, but the general pattern still applies.
Why are mars moons and the smaller moons of the outer planets an irregular shape while the larger moons discussed in the exploration are spherical?
Mars' moons are much smaller than, for example, Earth's Moon, or the larger moons of Jupiter. A large moon will have a larger gravity, which will tend to pull the moon together into a spherical shape.
Why does a small amount of water on placing over a glass plate forms an oval shaped drop?
When water is placed on a flat surface like a glass plate, surface tension causes it to minimize its surface area by forming a spherical shape. However, when the amount of water is very small, gravity plays a larger role in shaping the drop and causes it to form an oval shape instead of a perfect sphere. This is due to the balance between surface tension and gravity.
If the brain surface becomes smooth should it be larger?
Any surface which is wrinkled has a larger surface area than the space it actually takes up.
What happens to an object when it moves closer to convex lens?
No, the closer an object is to the lens, the more the spherical it is.
Does the size of the bubble affect its shape?
Yes, the size of a bubble can affect its shape. Smaller bubbles tend to be more spherical, while larger bubbles may deform due to gravity and surface tension forces, appearing more elliptical or irregular in shape.
In spherical geometry the measures of the angles in a triangle add up to 180 degrees?
The sum of angles in a triangle in a spherical geometry is greater than 180° the sum is greater the larger the surface area of the triangle.Example:Think of a triangle on the Earth with one corner at the North Pole, the other corners on the Equator 90° apart (say at 0° [west of Nigeria in Africa] the other at 90° W [West of Ecuador in South America]).Each of these angles is 90° so the sum is 270° - The surface area of the triangle is one eighth of the surface of the globe. But it is a triangle (on a sphere).
