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If a sphere has a volume of 36 pie units cubed if the radius is increased by a factor of what is the new volume of the sphere?
This exercise could have been a piece o' cake, and fun in its own right,if you had just told us what the "factor of ..." number is.By whatever factor the radius increases, the volume increases by the cubeof that number.
Surface-area-to-volume ratio in nanoparticles?
Surface area to volume ratio in nanoparticles have a significant effect on the nanoparticles properties. Firstly, nanoparticles have a relative larger surface area when compared to the same volume of the material. For example, let us consider a sphere of radius r: The surface area of the sphere will be 4πr2 The volume of the sphere = 4/3(πr3) Therefore the surface area to the volume ratio will be 4πr2/{4/3(πr3)} = 3/r It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.
Ask us anythingConsider the following geometric solids. A sphere with a ratio of surface area to volume equal to 0.3 m-1. A right circular cylinder with a ratio of surface area to volume equal to 2.1?
The ratio of surface area to volume for a sphere is given by the formula ( \frac{3}{r} ), where ( r ) is the radius. For the sphere with a ratio of 0.3 m(^{-1}), we can deduce that its radius is 10 m. For the right circular cylinder, the ratio of surface area to volume is given by ( \frac{2}{h} + \frac{2r}{h} ), where ( r ) is the radius and ( h ) is the height; a ratio of 2.1 indicates specific dimensions that would need to be calculated based on chosen values for ( r ) and ( h ).
What is the volume in gallons if the height of the cylinder 4 feet and radius is 1 foot?
The volume is 94 US gallons.
Earth has a radius of 6371 kilometers and the moon has a radius of 1737 kilometers. How many times larger is eath's volume than the moon's volume?
To find how many times larger Earth's volume is than the Moon's, we can use the formula for the volume of a sphere: ( V = \frac{4}{3} \pi r^3 ). Calculating the volumes, Earth's volume is approximately ( 1.08321 \times 10^{12} ) cubic kilometers, and the Moon's volume is about ( 2.197 \times 10^{10} ) cubic kilometers. Dividing these values gives us that Earth's volume is roughly 49.1 times larger than the Moon's volume.
How many gallons are in 1 radius foot?
Given only one radius measure, the most likely shape is a sphere. A sphere with a 1 foot radius has a volume of 26.1 Imperial gallons (31.3 US gal). Given only one radius measure, the most likely shape is a sphere. A sphere with a 1 foot radius has a volume of 26.1 Imperial gallons (31.3 US gal). Given only one radius measure, the most likely shape is a sphere. A sphere with a 1 foot radius has a volume of 26.1 Imperial gallons (31.3 US gal). Given only one radius measure, the most likely shape is a sphere. A sphere with a 1 foot radius has a volume of 26.1 Imperial gallons (31.3 US gal).
What is the volume of a sphere with a radius of 10.2?
The formula to find the volume of a sphere us V = 4/3πr3, where V is volume, π is pi, which can be rounded to 3.14, and r is the radius. In order to find the volume of your sphere, the radius has to have a length unit, such as 10.2 cm or 10.2 inches.
What is the volume of a sphere with a radius of 3.1?
The formula to calculate the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. Given a radius of 3.1, we substitute this value into the formula: V = (4/3)π(3.1)^3. Calculating this gives us V ≈ 127.6 cubic units.
If a sphere has a volume of 36 pie units cubed if the radius is increased by a factor of what is the new volume of the sphere?
This exercise could have been a piece o' cake, and fun in its own right,if you had just told us what the "factor of ..." number is.By whatever factor the radius increases, the volume increases by the cubeof that number.
Surface-area-to-volume ratio in nanoparticles?
Surface area to volume ratio in nanoparticles have a significant effect on the nanoparticles properties. Firstly, nanoparticles have a relative larger surface area when compared to the same volume of the material. For example, let us consider a sphere of radius r: The surface area of the sphere will be 4πr2 The volume of the sphere = 4/3(πr3) Therefore the surface area to the volume ratio will be 4πr2/{4/3(πr3)} = 3/r It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.
What is the volume of a sphere with a radius of 12 cm?
Well, darling, the volume of a sphere is calculated using the formula V = (4/3)πr^3. So, plug in the radius of 12 cm, and you'll find that the volume is approximately 7238.23 cubic centimeters. So, there you have it, sweetie, now go impress someone with your newfound knowledge.
A solid copper sphere of radius 3cm is melted and electric wire of diameter 0.4cm is made out of the copper obtained find the length of wire?
To find the length of the wire, we need to calculate the volume of the copper sphere first. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 3 cm, we find the volume of the sphere to be approximately 113.1 cm³. Next, we need to find the volume of the wire. Since the wire is cylindrical, its volume can be calculated using the formula V = πr²h, where r is the radius and h is the height (length) of the wire. Given the diameter of the wire is 0.4 cm, the radius is 0.2 cm. Assuming the wire is very long compared to its diameter, we can approximate the wire as a cylinder and find its length by dividing the volume of the sphere by the volume of the wire. This gives us the length of the wire as approximately 565.5 cm.
What is the volume in gallons of a cylinder that has a radius of 5' and height of 25'?
A cylinder that has a radius of 5' and height of 25' has a volume of 14,688 US gallons.
What is the volume in gallons if the height of the cylinder 4 feet and radius is 1 foot?
The volume is 94 US gallons.
What is the volume in gallons of a cylinder with a radius of 144 inches and a height of 30 inches?
The volume is 8,460.27 US gallons.
What is the volume in gallons of a cylinder with a radius of 108 inches and a height of 206 inches?
The volume of a cylinder with a radius of 108 inches and a height of 206 inches is 32,677.8 US gallons.
Earth has a radius of 6371 kilometers and the moon has a radius of 1737 kilometers. How many times larger is eath's volume than the moon's volume?
To find how many times larger Earth's volume is than the Moon's, we can use the formula for the volume of a sphere: ( V = \frac{4}{3} \pi r^3 ). Calculating the volumes, Earth's volume is approximately ( 1.08321 \times 10^{12} ) cubic kilometers, and the Moon's volume is about ( 2.197 \times 10^{10} ) cubic kilometers. Dividing these values gives us that Earth's volume is roughly 49.1 times larger than the Moon's volume.
