Table of Contents
How do you find the ratio of the radii of two spheres?
1 Answer
- Let the radius of two sphere number is r1 and r2
- ∵ r1/r2 = 1/3.
- Volume of spheres, V1 = 4/3πr13
- and V2 = 4/3πr23
- Now, V1/V2 = r13/r23 = (r1/r2)3
- = (1/3)3 = 1/27.
- ∴ V1 : V2 = 1 : 27.
- Hence, the volume of two spheres are in the ratio of 1 : 27.
What is the ratio of the surface areas of the two spheres?
ratio 1:4
The surface areas of the two spheres are in the ratio 1:4.
How do you find the ratio of the volume of a sphere?
So for a sphere, the ratio of surface area to volume is given by: S/V = 3/R.
What is ratio of volumes of two spheres the ratio of their surface areas is 16 9?
Answer: The ratio of volume is 27:64. Step-by-step explanation: It is given that ratio of surface area of two spheres is 9:16.
How do you find the ratio of surface area?
It gives the proportion of surface area per unit volume of the object (e.g., sphere, cylinder, etc.). Therefore, the formula to calculate surface area to volume ratio is: SA/VOL = surface area (x2) / volume (x3) SA/VOL = x-1 , where x is the unit of measurement.
What is the ratio of a sphere?
The ratio of the volume and surface area of a sphere is 1:3.
What is the ratio of the volumes of the two spheres?
The ratio of the volumes of two spheres is 8 : 27 — this is the cube of the corresponding ratio of linear measurements, so that’s 2/3. Squaring 2/3 gives 4/9 so the ratio between surface areas is 4:9.
What is the ratio of radii of two spheres?
The ratio of radii of two spheres is 2 : 3. Find the ratio of their surface areas and volumes. >> The ratio of radii of two s… The ratio of radii of two spheres is 2 : 3.
What is the volume of two spheres in R units?
Volume of two sphere are in the ratio 64:27. Find the ratio of their surface area. Hence, this is the answer. Was this answer helpful? A sphere is cut into two equal halves and both the halves are painted from all sides. The radius of the sphere is r units and the rate of painting is Rs. 8 per sq.unit.
What is the volume of the larger sphere?
The ratio of the surface area of two spheres is 3:2. The volume of the larger sphere is 2,916 in3. What is the volume of the smaller sphere? If the ratio of the radii of the two spheres is the square root of the given ratio of their surface area. That is, the ratio of the radii is sqrt 3: sqrt 2.
How do you find the surface area of a sphere SA?
Now we know that the formula for the surface area of sphere S is: Therefore, to find SA, we just need to substitute r with 2r and simplify the equation. This is shown below: Similarly, to find SB, since the radius is r, we have: Let the volume of sphere A be VA and the volume of sphere B be VB.
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