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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 find the similarity ratio of volumes I was given this question Find the similarity ratio of a cube with the volume 216cm cubed to a cube with volume 2744cm cubed HELP ME?
63 = 216 and 143 = 2744 6:14 = 3:7
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)
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.
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 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.
What is the geometric shape of a car antenna?
Cylinder with a very large ratio of length to radius.
What is the compression ratio of and engine?
Compression ratio is the difference in the volume of a engine cylinder between when the cylinder is at it's largest volume, compared against when the cylinder is at it's smallest volume. Gasoline engines use 8:1 to 12:1 compression ratio. Diesel fuel engines use 14:1 to 25:1.
