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How do you find the radius of a sphere if the volume and surface area is equal?
Wiki User
∙ 12y ago
Volume and surface area cannot be equal, by definition. Volume is a cubic unit, surface is a square unit. Apples and Oranges. However a radius of 1 will certainly yield 1 no matter how big the exponent.
The way to set it up would be to let x = r in "x times x = x times x times x" then cancel out "x times x" on both sides of the equation and 1 = x.
The following was improved by someone else:
(Note: Volume is a different measurement to area anyway so the question cannot be answered but if you said the" 'values' were equal" -it would work)
We know that V = 4/3 pr3 (or 4pr3 /3) and S = 4pr2So 4pr2 = 4/3pr3 which rearranges to:r=3This is the ONLY POSSIBLE ANSWER. So to answer your question, to find out the radius of a sphere where the volume and the surface area have the same value, you need to put the equations on either side of the equals and simplify and rearrange to get a formula or number. In this case, it had a number. To clarify, the FINAL ANSWER WOULD BE r=3Wiki User
∙ 12y ago
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A sphere has an unknown radius and a volume equal to 30 units squared what is the volume of the sphere twice the radius?
A sphere's volume is measured in cubic units, not square units.
Suppose the sphere below with radius r has a surface area equal to 50 units2 Find the surface area of the sphere with twice the radius?
The surface area of the sphere with the radius doubled is 200 units2.---> Confirmed
Suppose the sphere below with radius r has a volume equal to 45 units3 Find the volume of the sphere with twice the radius?
360 units cubed
Is the volume of a sphere with a radius of r inches always equal to the volume of a cylinder with a radius of r inches?
No, it rarely is.
What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?
The formula for the surface area of a sphere is 4πr² and the formula for the volume is (4/3)πr³, where r is the radius of the sphere. Setting 4πr² equal to 588 and (4/3)πr³ equal to 1372, you can solve for the radius by equating the two expressions and taking the cube root of the result. Once you have the radius, you can calculate the surface area using the formula and divide it by the volume to find the ratio.
What is the formula for radius of sphere?
The radius of a sphere is equal to one-half the diameter. If the volume of the sphere is known, then the radius (r) is equal to the cube root of 3/4 of (Volume/pi).
Suppose the sphere below with radius r has a volume equal to 50 units3 Find the volume of the sphere with twice the radius?
A sphere with a volume of 50 units3 has a radius of 2.29 units. A sphere with twice the radius (4.58 units) has a volume of 402 units3.
A sphere has an unknown radius and a volume equal to 30 units squared what is the volume of the sphere twice the radius?
A sphere's volume is measured in cubic units, not square units.
Find the volume of a sphere?
The formula for the volume of a sphere is based on the radius of the sphere. It is equal to 4/3 multiplied by pi, multiplied by the radius cubed.
How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
Suppose the sphere below with radius r has a surface area equal to 50 units2 Find the surface area of the sphere with twice the radius?
The surface area of the sphere with the radius doubled is 200 units2.---> Confirmed
Suppose the sphere below with radius r has a volume equal to 45 units3 Find the volume of the sphere with twice the radius?
360 units cubed
Suppose the sphere below with radius r has a surface area equal to 40 units2 Find the surface area of the sphere with twice the radius?
160
Is the volume of a sphere with a radius of r inches always equal to the volume of a cylinder with a radius of r inches?
No, it rarely is.
How can you get the volume of a sphere?
volume is equal to four thirds pie times the radius cubed.
Suppose a sphere has a volume equal to 45 units 3 - what is the volume if the radius is doubled?
A sphere with a volume of 45 cubic units has a radius of 2.21 units. If you double the radius to 4.42 units, the volume becomes 362 units3Apex answer: 360 units3
What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?
The formula for the surface area of a sphere is 4πr² and the formula for the volume is (4/3)πr³, where r is the radius of the sphere. Setting 4πr² equal to 588 and (4/3)πr³ equal to 1372, you can solve for the radius by equating the two expressions and taking the cube root of the result. Once you have the radius, you can calculate the surface area using the formula and divide it by the volume to find the ratio.
