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The radius and heiht of a cylinder are in ratio 5 is to 7 and its volume is 550 cm cube find its radius?
Designate the radius by r and the height by h. For any cylinder, volume = 2 X pi X r X h. From the problem statement, h = 7/5 r. Substituting this into the general volume equation yields 2 X pi X r X (7/5)r = volume (stated to be 550 cm3). Multiplying by 5 and collecting like terms yields 2 X pi X 7 r2 = 2750; r2 = 2750/[(2)(pi)(7)] = about 62.526; r = about 7. 9 cm.
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What is the radius ratio of SC and Bcc and FCC?
Radius ratio of FCC is 1.0 and of BCC is 0.732
How do you solve this question Two spheres are cut from a certain uniform rock One has radius 4.50 cm The mass of the other is five times greater Calculate its radius?
Since volume = 1/density x mass and as the rock is uniform it has a constant density, the volume is directly related to the mass; meaning that since the mass of the second is 5 times as big as that of the first, the volume of the second is also 5 times as big as that of the first. The ratio of volumes is the cube of the ratio of lengths; so the lengths are in the ratio of the cube root of the ratio of the volumes. The ratio of the volumes in this case is 1:5 giving the ratio of the lengths as 1:3√5 So the second radius is 3√5 (≈ 1.71) times as big as the first, making it 4.50 cm x 3√5 ≈ 7.69 cm.
What is the similarity ratio of a smaller cone with a height of 9 and a radius of 6 and a larger cone with a height of 15 and a radius of 10?
The smaller to the larger is a ratio of 6:10 or 3:5
The diameter of a big circle is 42 feet what is the ratio of the circle's radius to it's diameter?
Radius = 1/2 of diameter.The ratio is 1/2 = 0.5.That's true for all circles, from microscopic to humongous, doesn't matter.
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.
What is the ratio of the volume of a cylinder to the volume of a cylinder having the same height but twice the radius?
1 to 4
What is the ratio of the volume of such a cylinder to the volume of one having twice the height but the same radius?
2 to 1
Calculate surface area to volume ratio cylinder?
The formula for the surface area of a cylinder is 2πr² + 2πrh, where r is the radius and h is the height. The formula for the volume of a cylinder is πr²h. The surface area to volume ratio can be calculated by dividing the surface area by the volume.
What is the ratio of the radii of a cone and a cylinder if they have the same volume and height?
Let the cylinder have radius R and height h Let the cone have radius r and same height h Then: Volume cylinder = πr²h Volume cone = ⅓πR²h If the volume are equal: ⅓πR²h = πr²h → ⅓R² = r² → R² = 3r² → R = √3 r → ratio radii cone : cylinder = 1 : √3
What is the ratio of the radius of the cylinder to the radius of the cone?
There is no ratio of the radius of the base cone to the radius of the base of the cylinder. If they are the same and the height of the cones is the same the ratio of the radius of their bases is 1:1 ant the ratio of the heights is 1:1 and the ratio of the volumes (Vcone:Vcyclinder) is (1/3 π r2 h):(πi r2 h) or 1/3
What is the height radius and base of a cylinder with a volume of 1 cubic meters?
It depends on the ratio between the base and the height. Bh=A, and B=(pi)(r2)
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 are the smallest dimension possible for a cylinder with a volume of 500 cm3?
To find the smallest dimensions of a cylinder with a volume of 500 cm³, we can use the formula for the volume of a cylinder: ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. To minimize the surface area while maintaining a fixed volume, the optimal ratio is when the height equals twice the radius (i.e., ( h = 2r )). By solving these equations, we find that the smallest dimensions occur at a radius of approximately 5.42 cm and a height of about 10.84 cm.
The radii of two circular cylinders are in the ratio 2 3 and their height are in ratio 5 4 calculate the ratio of their volumes?
Let the radius of the first be 2r; then the radius of the second is 3r Let the height of the first be 5h; then the height of the second is 4h volume cylinder = π × radius² × height → volume first = π × (2r)² × 5h = 20πr²h → volume second = π × (3r)² × 4h = 36πr²h → ratio of their volumes is: 20πr²h : 36πr²h = 20 : 36 (divide by πr²h) = 5 : 9 (divide by 4)
If ratio of the radius of the spheres is 1.3 find the ratio of their volume?
If the ratio of the radii is 1:3 then the ratio of volumes is 1:27.
If the volume of a cylinder is 48 centimeters cubed what is the radius?
volume = pi * radius2 * heightThere are three unknowns in this equation, V, r, and h, and you only know v. You need to provide additional information (such as the height of the cylinder or some ratio of height to width) in order to solve
What is the ratio of volume of a cone to the volume of a cylinder with same ratio?
It is 3:1. This is because volume of a cone is pi/3*r*r*h while vol of a cylinder is pi*r*r*h.
